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		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40635</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40635"/>
		<updated>2022-04-26T17:10:22Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;lt; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;gt; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt;0 &amp;lt; x &amp;lt; L &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;br /&gt;
&lt;br /&gt;
===Another Example===&lt;br /&gt;
Imagine a semi-infinite well in which one wall is a finite potential barrier and another is infinite. What would be the wave-function of a quantum particle in this potential well?&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;img src=&amp;quot;https://www.google.com/url?sa=i&amp;amp;url=https%3A%2F%2Fscienceworld.wolfram.com%2Fphysics%2FHalf-InfiniteSquarePotentialWell.html&amp;amp;psig=AOvVaw33V20xolYvBNAY-jrXn0ZL&amp;amp;ust=1650935247424000&amp;amp;source=images&amp;amp;cd=vfe&amp;amp;ved=0CAkQjRxqFwoTCPCEp5uDrvcCFQAAAAAdAAAAABAP&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
You have all the tools to do this, but the solution is below for you to check your answer.&lt;br /&gt;
&lt;br /&gt;
===Solution===&lt;br /&gt;
Region x &amp;lt; 0:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_1 = 0 &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Region 0 &amp;lt; x &amp;lt; L:&lt;br /&gt;
&amp;lt;br&amp;gt; &lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi, k =  \frac{2m}{\hbar^2} E, \Psi_2 = A sin{kx} + B cos{kx}. &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Region x &amp;gt; L:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{\partial^2 \Psi}{\partial x^2} = \frac{2m}{\hbar^2} (V_0 - E) \Psi, q = \frac{2m}{\hbar^2} (V_0 - E), \Psi_3 = C e^{-iqx} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Continuity: &amp;lt;math&amp;gt; \Psi_1 (0) = \Psi_2 (0) =&amp;gt; 0 = B &amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_2 (L) = \Psi_3 (0L) =&amp;gt; A sin{kL} = Ce^{-iqL} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Smoothness: &amp;lt;math&amp;gt; \frac{d \Psi_2}{dx} (L) = \frac{d \Psi_3}{dx} (L) =&amp;gt; Ak cos{kL} = -iqC e^{-iqL} =&amp;gt; Ak cos{kL} = -iqAsin{kL} =&amp;gt; tan{kL} = \frac{ik}{q}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Connectedness===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. We saw that while a classical particle would be no more likely to be at one position over another, a quantum particle indeed is more likely to be found at certain places in the potential well.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Devices exploiting quantum wells are especially prominent in optoelectronics. the quantum-well problem interested physicists because it is one of the only problems in quantum mechanics that can be solved analytically without approximations. &lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Finite_potential_well&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
https://en.wikipedia.org/wiki/Quantum_harmonic_oscillator&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Finite_potential_well&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
https://en.wikipedia.org/wiki/Quantum_harmonic_oscillator&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Particle_in_a_box#Applications&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40634</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40634"/>
		<updated>2022-04-26T17:05:46Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;lt; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;gt; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt;0 &amp;lt; x &amp;lt; L &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;br /&gt;
&lt;br /&gt;
===Another Example===&lt;br /&gt;
Imagine a semi-infinite well in which one wall is a finite potential barrier and another is infinite. What would be the wave-function of a quantum particle in this potential well?&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;img src=&amp;quot;https://www.google.com/url?sa=i&amp;amp;url=https%3A%2F%2Fscienceworld.wolfram.com%2Fphysics%2FHalf-InfiniteSquarePotentialWell.html&amp;amp;psig=AOvVaw33V20xolYvBNAY-jrXn0ZL&amp;amp;ust=1650935247424000&amp;amp;source=images&amp;amp;cd=vfe&amp;amp;ved=0CAkQjRxqFwoTCPCEp5uDrvcCFQAAAAAdAAAAABAP&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
You have all the tools to do this, but the solution is below for you to check your answer.&lt;br /&gt;
&lt;br /&gt;
===Solution===&lt;br /&gt;
Region x &amp;lt; 0:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_1 = 0 &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Region 0 &amp;lt; x &amp;lt; L:&lt;br /&gt;
&amp;lt;br&amp;gt; &lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi, k =  \frac{2m}{\hbar^2} E, \Psi_2 = A sin{kx} + B cos{kx}. &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Region x &amp;gt; L:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{\partial^2 \Psi}{\partial x^2} = \frac{2m}{\hbar^2} (V_0 - E) \Psi, q = \frac{2m}{\hbar^2} (V_0 - E), \Psi_3 = C e^{-iqx} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Continuity: &amp;lt;math&amp;gt; \Psi_1 (0) = \Psi_2 (0) =&amp;gt; 0 = B &amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_2 (L) = \Psi_3 (0L) =&amp;gt; A sin{kL} = Ce^{-iqL} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Smoothness: &amp;lt;math&amp;gt; \frac{d \Psi_2}{dx} (L) = \frac{d \Psi_3}{dx} (L) =&amp;gt; Ak cos{kL} = -iqC e^{-iqL} =&amp;gt; Ak cos{kL} = -iqAsin{kL} =&amp;gt; tan{kL} = \frac{ik}{q}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Connectedness===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. We saw that while a classical particle would be no more likely to be at one position over another, a quantum particle indeed is more likely to be found at certain places in the potential well.&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40509</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40509"/>
		<updated>2022-04-25T03:15:17Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;lt; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;gt; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt;0 &amp;lt; x &amp;lt; L &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;br /&gt;
&lt;br /&gt;
===Another Example===&lt;br /&gt;
Imagine a semi-infinite well in which one wall is a finite potential barrier and another is infinite. What would be the wave-function of a quantum particle in this potential well?&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;img src=&amp;quot;https://www.google.com/url?sa=i&amp;amp;url=https%3A%2F%2Fscienceworld.wolfram.com%2Fphysics%2FHalf-InfiniteSquarePotentialWell.html&amp;amp;psig=AOvVaw33V20xolYvBNAY-jrXn0ZL&amp;amp;ust=1650935247424000&amp;amp;source=images&amp;amp;cd=vfe&amp;amp;ved=0CAkQjRxqFwoTCPCEp5uDrvcCFQAAAAAdAAAAABAP&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
You have all the tools to do this, but the solution is below for you to check your answer.&lt;br /&gt;
&lt;br /&gt;
===Solution===&lt;br /&gt;
Region x &amp;lt; 0:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_1 = 0 &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Region 0 &amp;lt; x &amp;lt; L:&lt;br /&gt;
&amp;lt;br&amp;gt; &lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi, k =  \frac{2m}{\hbar^2} E, \Psi_2 = A sin{kx} + B cos{kx}. &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Region x &amp;gt; L:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{\partial^2 \Psi}{\partial x^2} = \frac{2m}{\hbar^2} (V_0 - E) \Psi, q = \frac{2m}{\hbar^2} (V_0 - E), \Psi_3 = C e^{-iqx} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Continuity: &amp;lt;math&amp;gt; \Psi_1 (0) = \Psi_2 (0) =&amp;gt; 0 = B &amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_2 (L) = \Psi_3 (0L) =&amp;gt; A sin{kL} = Ce^{-iqL} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Smoothness: &amp;lt;math&amp;gt; \frac{d \Psi_2}{dx} (L) = \frac{d \Psi_3}{dx} (L) =&amp;gt; Ak cos{kL} = -iqC e^{-iqL} =&amp;gt; Ak cos{kL} = -iqAsin{kL} =&amp;gt; tan{kL} = \frac{ik}{q}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40506</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40506"/>
		<updated>2022-04-25T03:13:17Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Solution */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;lt; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;gt; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt;0 &amp;lt; x &amp;lt; L &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;br /&gt;
&lt;br /&gt;
===Another Example===&lt;br /&gt;
Imagine a semi-infinite well in which one wall is a finite potential barrier and another is infinite. What would be the wave-function of a quantum particle in this potential well?&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;img src=&amp;quot;https://www.google.com/url?sa=i&amp;amp;url=https%3A%2F%2Fscienceworld.wolfram.com%2Fphysics%2FHalf-InfiniteSquarePotentialWell.html&amp;amp;psig=AOvVaw33V20xolYvBNAY-jrXn0ZL&amp;amp;ust=1650935247424000&amp;amp;source=images&amp;amp;cd=vfe&amp;amp;ved=0CAkQjRxqFwoTCPCEp5uDrvcCFQAAAAAdAAAAABAP&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
You have all the tools to do this, but the solution is below for you to check your answer.&lt;br /&gt;
&lt;br /&gt;
===Solution===&lt;br /&gt;
Region x &amp;lt; 0:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_1 = 0 &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Region 0 &amp;lt; x &amp;lt; L:&lt;br /&gt;
&amp;lt;br&amp;gt; &lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi, k =  \frac{2m}{\hbar^2} E, \Psi_2 = A sin{kx} + B cos{kx}. &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Region x &amp;gt; L:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{\partial^2 \Psi}{\partial x^2} = \frac{2m}{\hbar^2} (V_0 - E) \Psi, q = \frac{2m}{\hbar^2} (V_0 - E), \Psi_3 = C e^{-iqx} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Continuity: &amp;lt;math&amp;gt; \Psi_1 (0) = \Psi_2 (0) =&amp;gt; 0 = B&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_2 (L) = \Psi_3 (0L) =&amp;gt; A sin{kL} = Ce^{-iqL} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Smoothness: &amp;lt;math&amp;gt; \frac{d \Psi_2}{dx} (L) = \frac{d \Psi_3}{dx} (L) =&amp;gt; Ak cos{kL} = -iqC e^{-iqL} =&amp;gt; Ak cos{kL} = -iqAsin{kL} =&amp;gt; tan{kL} = \frac{ik}{q}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40484</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40484"/>
		<updated>2022-04-25T02:48:47Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;lt; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;gt; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt;0 &amp;lt; x &amp;lt; L &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;br /&gt;
&lt;br /&gt;
===Another Example===&lt;br /&gt;
Imagine a semi-infinite well in which one wall is a finite potential barrier and another is infinite. What would be the wave-function of a quantum particle in this potential well?&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;img src=&amp;quot;https://www.google.com/url?sa=i&amp;amp;url=https%3A%2F%2Fscienceworld.wolfram.com%2Fphysics%2FHalf-InfiniteSquarePotentialWell.html&amp;amp;psig=AOvVaw33V20xolYvBNAY-jrXn0ZL&amp;amp;ust=1650935247424000&amp;amp;source=images&amp;amp;cd=vfe&amp;amp;ved=0CAkQjRxqFwoTCPCEp5uDrvcCFQAAAAAdAAAAABAP&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
You have all the tools to do this, but the solution is below for you to check your answer.&lt;br /&gt;
&lt;br /&gt;
===Solution===&lt;br /&gt;
Region x &amp;lt; 0:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_1 = 0 &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Region 0 &amp;lt; x &amp;lt; L:&lt;br /&gt;
&amp;lt;br&amp;gt; &lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi, k =  \frac{2m}{\hbar^2} E, \Psi_2 = A sin{kx} + B cos{kx}. &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Region x &amp;gt; L:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{\partial^2 \Psi}{\partial x^2} = \frac{2m}{\hbar^2} (V_0 - E) \Psi, q = \frac{2m}{\hbar^2} (V_0 - E), \Psi_3 = C e^{-iqx} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Continuity: &amp;lt;math&amp;gt; \Psi_1 (0) = \Psi_2 (0) =&amp;gt; 0 = B&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi_2 (L) = \Psi_3 (0L) =&amp;gt; A sin{kL} = Ce^{-iqL} &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Smoothness: &amp;lt;math&amp;gt; \frac{d \Psi_2}{dx} (L) = \frac{d \Psi_3}{dx} (L) =&amp;gt; Ak cos{kL} = -iqC e^{-iqL}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40407</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=40407"/>
		<updated>2022-04-25T01:26:15Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;lt;= 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39636</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39636"/>
		<updated>2022-04-21T01:19:35Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;a title=&amp;quot;Benjamin D. Esham, Public domain, via Wikimedia Commons&amp;quot; href=&amp;quot;https://commons.wikimedia.org/wiki/File:Infinite_potential_well.svg&amp;quot;&amp;gt;&amp;lt;/a&amp;gt;&amp;lt;img width=&amp;quot;256&amp;quot; alt=&amp;quot;Infinite potential well&amp;quot; src=&amp;quot;https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Infinite_potential_well.svg/256px-Infinite_potential_well.svg.png&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;amp;le; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39635</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39635"/>
		<updated>2022-04-20T22:55:31Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Constructing  \Psi (x)  */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;amp;le; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ... And this is the final normalized wave equation for a quantum particle in a 1D infinite potential well.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Note: We could have plugged in &amp;lt;math&amp;gt; x = L &amp;lt;/math&amp;gt; at the beginning instead of 0, but we would be left with the equation &amp;lt;math&amp;gt; 0 = 0 &amp;lt;/math&amp;gt;, which doesn&#039;t tell us anything new (I hope).&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39632</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39632"/>
		<updated>2022-04-20T22:48:30Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;amp;le; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ...&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39631</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39631"/>
		<updated>2022-04-20T22:48:05Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Constructing  \Psi (x)  */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;amp;le; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on the region where &amp;lt;math&amp;gt; x = 0 &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = B = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) =A sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |A sin(\frac{n \pi x}{L})|^2 dx = \int_{0}^L A^2 sin^2(\frac{n \pi x}{L}) dx = A^2 [\frac{x}{2} - \frac{cos(\frac{2n \pi x}{L})}{4}]_{0}^L = A^2 (\frac{L}{2} - \frac{cos(2n \pi)}{4}) = A^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; A = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}} sin(\frac{n \pi x}{L}) &amp;lt;/math&amp;gt; for n = 1, 2, 3, ...&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39630</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39630"/>
		<updated>2022-04-20T22:39:18Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Barrier Conditions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Constructing &amp;lt;math&amp;gt; \Psi (x) &amp;lt;/math&amp;gt;===&lt;br /&gt;
For the region  &amp;lt;math&amp;gt; x &amp;amp;le; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt; where the potential is zero. Let&#039;s rewrite the Schrödinger equation a bit to see what we&#039;re dealing with.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{\partial^2 \Psi}{\partial x^2} = - \frac{2m}{\hbar^2} E \Psi &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can clearly see that a second derivative of &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is just a constant times the same function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt;. This should remind you of sins and cosines or exponentials, such as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; sin(kx) &amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt; cos(kx) &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; k = \frac{2m}{\hbar^2} &amp;lt;/math&amp;gt;. You could use complex exponentials instead of sins and cosines as well, but it turns out in this situation sins and cosines are slightly more convenient. A good exercise would be to use complex exponentials (&amp;lt;math&amp;gt; \Psi (x) = A e^{ikx} + B e^{-ikx} &amp;lt;/math&amp;gt;) and verify that you get the right answer. Remember that differential equations may have several particular solutions and the general solution is a super position of them . So, &amp;lt;math&amp;gt; \Psi (x) = A sin(kx) + B cos(kx) &amp;lt;/math&amp;gt;, but this doesn&#039;t satisfy the boundary conditions. Plug in 0 and L and see that &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; is not zero as it should be. This is because quantum particles have discrete energy levels so there is one more condition we must take into account, which is that for sin, &amp;lt;math&amp;gt; k = \frac{n \pi}{L} &amp;lt;/math&amp;gt; and for cos, &amp;lt;math&amp;gt; k = \frac{n \pi}{2L} &amp;lt;/math&amp;gt;. Plug in the boundary conditions to verify that &amp;lt;math&amp;gt; \Psi(0) = \Psi(L) = 0 &amp;lt;/math&amp;gt;. Therefore, &amp;lt;math&amp;gt; \Psi (x) = A sin(\frac{n \pi x}{L}) + B cos(\frac{n \pi x}{2L}) &amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
We can find A and B by focusing on one region at a time. Let&#039;s start where x = 0.&lt;br /&gt;
&amp;lt;math&amp;gt; \Psi (0) = A = 0 &amp;lt;/math&amp;gt;, so &amp;lt;math&amp;gt; \Psi (x) = B cos(kx) &amp;lt;/math&amp;gt;. We also know that the wave function must be normalized.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; 1 = \int_{0}^L |\Psi|^2 dx = \int_{0}^L |B cos(\frac{n \pi x}{2L})|^2 dx = \int_{0}^L B^2 cos^2(\frac{n \pi x}{2L}) dx = B^2 [\frac{x}{2} + \frac{sin(\frac{2n \pi x}{2L})}{4}]_{0}^L = B^2 (\frac{L}{2} + \frac{sin(n \pi)}{4}) = B^2 (\frac{L}{2}) = 1&amp;lt;/math&amp;gt;.&lt;br /&gt;
Therefore, &amp;lt;math&amp;gt; B = \sqrt{\frac{2}{L}} &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \Psi = \sqrt{\frac{2}{L}}&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39616</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39616"/>
		<updated>2022-04-20T21:32:08Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Barrier Conditions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Barrier Conditions===&lt;br /&gt;
For the region &amp;lt;math&amp;gt; x &amp;amp;#8804; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt;.&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39615</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39615"/>
		<updated>2022-04-20T21:31:24Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Barrier Conditions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Barrier Conditions===&lt;br /&gt;
For the region &amp;lt;math&amp;gt; x &amp;amp;le; 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge; L &amp;lt;/math&amp;gt; . Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le; x &amp;amp;ge; 0 &amp;lt;/math&amp;gt;.&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39614</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39614"/>
		<updated>2022-04-20T21:30:39Z</updated>

		<summary type="html">&lt;p&gt;Darin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;br /&gt;
&lt;br /&gt;
===Barrier Conditions===&lt;br /&gt;
For &amp;lt;math&amp;gt; x &amp;amp;le 0 &amp;lt;/math&amp;gt; the wave function must be zero because the particle cannot overcome an infinite potential barrier. Similarly for &amp;lt;math&amp;gt; x &amp;amp;ge L &amp;lt;/math&amp;gt; . Now, we just need to construct the solution/wave-function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; for the region &amp;lt;math&amp;gt; 0 &amp;amp;le x &amp;amp;ge 0 &amp;lt;/math&amp;gt;.&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39613</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39613"/>
		<updated>2022-04-20T21:23:51Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39612</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39612"/>
		<updated>2022-04-20T21:22:42Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;br /&gt;
To describe the state of the quantum particle in the potential well we will find a function &amp;lt;math&amp;gt; \Psi &amp;lt;/math&amp;gt; that satisfies the barrier conditions of the well and the Schrödinger equation (above), a differential equation.&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39611</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39611"/>
		<updated>2022-04-20T21:18:25Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;} + V \Psi = E \Psi&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39610</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39610"/>
		<updated>2022-04-20T21:15:22Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39609</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39609"/>
		<updated>2022-04-20T21:14:52Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} \frac{\partial &amp;lt;sup&amp;gt;2&amp;lt;\sup&amp;gt; \Psi}{\partial x &amp;lt;sup&amp;gt;2&amp;lt;\sup&amp;gt;}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39608</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39608"/>
		<updated>2022-04-20T21:03:05Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{-\hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;}{2m} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39606</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39606"/>
		<updated>2022-04-20T20:42:31Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39605</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39605"/>
		<updated>2022-04-20T20:42:17Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39604</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39604"/>
		<updated>2022-04-20T20:39:26Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39603</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39603"/>
		<updated>2022-04-20T20:38:04Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar &amp;lt;sup&amp;gt; 2 &amp;lt;/sup&amp;gt; &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39602</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39602"/>
		<updated>2022-04-20T20:37:28Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39601</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39601"/>
		<updated>2022-04-20T20:35:44Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar &amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39600</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39600"/>
		<updated>2022-04-20T20:35:24Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar &amp;lt;sup&amp;gt;2 \&amp;lt;sup&amp;gt; &amp;lt;math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39599</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39599"/>
		<updated>2022-04-20T20:35:09Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar &amp;lt;sup&amp;gt;2&amp;lt;sup&amp;gt; &amp;lt;math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39598</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39598"/>
		<updated>2022-04-20T20:35:01Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Mathematical Setup */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;br /&gt;
&amp;lt;math&amp;gt;-i \hbar &amp;lt;sup&amp;gt;2&amp;lt;sup&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39597</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39597"/>
		<updated>2022-04-20T20:30:14Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Introduction */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in an ordinary ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian.&lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39596</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39596"/>
		<updated>2022-04-20T20:29:33Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Introduction */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;br /&gt;
The particle in a box problem is a classic way of understanding yet another difference between the classical and quantum worlds. Imagine a box whose sides represent infinite potential, so no particle has enough energy to climb them and escape. Now say we put in a ball with some initial velocity and it bounces between the walls. The ball is no more likely to be in one place than another. But by solving the Schrödinger equation we&#039;ll see that a quantum particle isn&#039;t so egalitarian. &lt;br /&gt;
&lt;br /&gt;
===Mathematical Setup===&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39595</id>
		<title>Solution for a Single Particle in an Infinite Quantum Well - Darin</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Solution_for_a_Single_Particle_in_an_Infinite_Quantum_Well_-_Darin&amp;diff=39595"/>
		<updated>2022-04-20T20:22:41Z</updated>

		<summary type="html">&lt;p&gt;Darin: Created page with &amp;quot;===Introduction===&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;===Introduction===&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39594</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39594"/>
		<updated>2022-04-20T20:19:49Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Schrödinger Equation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
= &#039;&#039;&#039;Georgia Tech Student Wiki for Introductory Physics.&#039;&#039;&#039; =&lt;br /&gt;
&lt;br /&gt;
This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook.  When reading this website, please correct any errors you may come across. If you read something that isn&#039;t clear, please consider revising it for future students!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick one of the topics from intro physics listed below&lt;br /&gt;
#Add content to that topic or improve the quality of what is already there.&lt;br /&gt;
#Need to make a new topic? Edit this page and add it to the list under the appropriate category.  Then copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax intro physics textbooks: [https://openstax.org/details/books/university-physics-volume-1  Vol1], [https://openstax.org/details/books/university-physics-volume-2  Vol2], [https://openstax.org/details/books/university-physics-volume-3  Vol3]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
* The Feynman lectures on physics are free to read [http://www.feynmanlectures.caltech.edu/ Feynman]&lt;br /&gt;
* Final Study Guide for Modern Physics II created by a lab TA [https://docs.google.com/document/d/1_6GktDPq5tiNFFYs_ZjgjxBAWVQYaXp_2Imha4_nSyc/edit?usp=sharing Modern Physics II Final Study Guide]&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A listing of [[Notable Scientist]] with links to their individual pages &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 1==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====GlowScript 101====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Python Syntax]]&lt;br /&gt;
*[[GlowScript]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====VPython====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Loops]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
*[[VPython Animation]]&lt;br /&gt;
*[[VPython Objects]]&lt;br /&gt;
*[[VPython 3D Objects]]&lt;br /&gt;
*[[VPython Reference]]&lt;br /&gt;
*[[VPython MapReduceFilter]]&lt;br /&gt;
*[[VPython GUIs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Vectors and Units====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Types of Interactions and How to Detect Them]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Velocity and Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Speed]]&lt;br /&gt;
*[[Speed vs Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Derivation of Average Velocity]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[3-Dimensional Position and Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Momentum and the Momentum Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Linear Momentum]]&lt;br /&gt;
*[[Newton&#039;s Second Law: the Momentum Principle]]&lt;br /&gt;
*[[Impulse and Momentum]]&lt;br /&gt;
*[[Net Force]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Acceleration]]&lt;br /&gt;
*[[Relativistic Momentum]]&lt;br /&gt;
&amp;lt;!-- Kinematics and Projectile Motion relocated to Week 3 per advice of Dr. Greco --&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Iterative Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Analytic Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;!-- *[[Analytical Prediction]] Deprecated --&amp;gt;&lt;br /&gt;
*[[Kinematics]]&lt;br /&gt;
*[[Projectile Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Varying Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Fundamentals of Iterative Prediction with Varying Force]]&lt;br /&gt;
*[[Spring_Force]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
&amp;lt;!--*[[Hooke&#039;s Law]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
&amp;lt;!--*[[Spring Force]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
*[[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Predicting Change in multiple dimensions]]&lt;br /&gt;
*[[Two Dimensional Harmonic Motion]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Fundamental Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Gravitational Force Near Earth]]&lt;br /&gt;
*[[Gravitational Force in Space and Other Applications]]&lt;br /&gt;
*[[3 or More Body Interactions]]&lt;br /&gt;
&amp;lt;!--[[Fluid Mechanics]]--&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Introduction to Magnetic Force]]&lt;br /&gt;
*[[Strong and Weak Force]]&lt;br /&gt;
*[[Reciprocity]]&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Properties of Matter====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
*[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
*[[Young&#039;s Modulus]]&lt;br /&gt;
*[[Speed of Sound in Solids]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Ductility]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Hardness]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Change of State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Identifying Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Inclined Plane]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
*[[Tension]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Curving Motion====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Curving Motion]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Energy Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Energy of a Single Particle]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Work/Energy]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Work by Non-Constant Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Work Done By A Nonconstant Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Potential Energy of Macroscopic Springs]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
*[[Ball and Spring Model]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Escape Velocity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Multiparticle Systems====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Multi-particle analysis of Momentum]]&lt;br /&gt;
*[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Choice of System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[System &amp;amp; Surroundings]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Thermal Energy, Dissipation, and Transfer of Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Calorific Value(Heat of combustion)]]&lt;br /&gt;
*[[First Law of Thermodynamics]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Temperature]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Rotational and Vibrational Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Rolling Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Different Models of a System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Friction====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Friction]]&lt;br /&gt;
*[[Static Friction]]&lt;br /&gt;
*[[Kinetic Friction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conservation of Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Collisions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rotations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rotational Kinematics]]&lt;br /&gt;
*[[Eulerian Angles]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Angular Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Total Angular Momentum]]&lt;br /&gt;
*[[Translational Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[The Angular Momentum Principle]]&lt;br /&gt;
*[[Angular Impulse]]&lt;br /&gt;
*[[Predicting the Position of a Rotating System]]&lt;br /&gt;
*[[The Moments of Inertia]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Analyzing Motion with and without Torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Torque]]&lt;br /&gt;
*[[Torque 2]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
*[[Systems with Nonzero Torque]]&lt;br /&gt;
*[[Torque vs Work]]&lt;br /&gt;
*[[Gyroscopes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Introduction to Quantum Concepts====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Electron transitions]]&lt;br /&gt;
*[[Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 2==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====3D Vectors====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Field and Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field of a point particle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Charge]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Superposition====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superposition Principle]]&lt;br /&gt;
*[[Superposition principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Dipole]]&lt;br /&gt;
*[[Magnetic Dipole]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Interactions of charged objects====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Tape experiments====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Polarization====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Polarization of an Atom]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conductors and Insulators====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conductivity and Resistivity]]&lt;br /&gt;
*[[Insulators]]&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Conductors]]&lt;br /&gt;
*[[Polarization of a conductor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Charging and Discharging====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Electrostatic Discharge]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged rod====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Field of a Charged Rod|Charged Rod]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged ring/disk/capacitor====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Ring]]&lt;br /&gt;
*[[Charged Disk]]&lt;br /&gt;
*[[Charged Capacitor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged sphere====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Spherical Shell]]&lt;br /&gt;
*[[Field of a Charged Ball]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]] &lt;br /&gt;
*[[Potential Difference in a Uniform Field]]&lt;br /&gt;
*[[Potential Difference of Point Charge in a Non-Uniform Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sign of a potential difference====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sign of a Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential at a single location====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Potential Difference at One Location]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Path independence and round trip potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in an insulator====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Electric Field in an Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Moving charges in a magnetic field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Biot-Savart Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Biot-Savart Law]]&lt;br /&gt;
*[[Biot-Savart Law for Currents]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Moving charges, electron current, and conventional current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Moving Point Charge]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a wire====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Magnetic field of a current-carrying loop====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Loop]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a Charged Disk====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Disk]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Dipole Moment]]&lt;br /&gt;
*[[Bar Magnet]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Atomic structure of magnets====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Atomic Structure of Magnets]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Steady state current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Kirchoff&#039;s Laws====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kirchoff&#039;s Laws]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric fields and energy in circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Macroscopic analysis of circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[Parallel Circuits vs. Series Circuits*]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Fundamentals of Resistance]]&lt;br /&gt;
*[[Problem Solving]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in circuits with capacitors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[RC Circuit]] &lt;br /&gt;
*[[R Circuit]]&lt;br /&gt;
*[[AC and DC]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic forces on charges and currents====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Motors and Generators]]&lt;br /&gt;
*[[Applying Magnetic Force to Currents]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Analysis of Railgun vs Coil gun technologies]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric and magnetic forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[VPython Modelling of Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Velocity selector====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Hall Effect====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Hall Effect]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Alayna Baker Spring 2020&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Hall Effect 1.jpg]]&lt;br /&gt;
[[File:Hall Effect 2.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
]]]====Motional EMF====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Adeline Boswell Fall 2019&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Motional EMF Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;http://www.physicsbook.gatech.edu/Special:RecentChangesLinked/Main_Page&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
If you have a bar attached to two rails, and the rails are connected by a resistor, you have effectively created a circuit. As the bar moves, it creates an &amp;quot;electromotive force&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[[File:MotEMFCR.jpg]]&lt;br /&gt;
&lt;br /&gt;
====Magnetic force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Gauss&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Ampere&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Solenoid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[The Differential Form of Ampere&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Semiconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Faraday&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Lenz&#039;s Law]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Maxwell&#039;s equations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Circuits revisited====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Inductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Inductors]]&lt;br /&gt;
*[[Current in an LC Circuit]]&lt;br /&gt;
*[[Current in an RL Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
==== Electromagnetic Radiation ====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Radiation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sparks in the air====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sparks in Air]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Superconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superconducters]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
*[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 3==&lt;br /&gt;
&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Classical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Special Relativity====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Albert A. Micheleson &amp;amp; Edward W. Morley]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Photons====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Light Scattering: Why is the Sky Blue]]&lt;br /&gt;
*[[Lasers]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Matter Waves====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Particle in a 1-Dimensional box]]&lt;br /&gt;
*[[Heisenberg Uncertainty Principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Schrödinger Equation====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Free Particle]]&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Particle in an Infinite Quantum Well - Darin]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Wave Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Standing Waves]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Wavelength and Frequency]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Quantum Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Tunneling as a Mechanism for Radioactive Decay]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rutherford-Bohr Model====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hydrogen Atom====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Many-Electron Atoms====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Pauli exclusion principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Molecules====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Molecules]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Statistical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Application of Statistics in Physics]]&lt;br /&gt;
*[[Temperature &amp;amp; Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Condensed Matter Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Nucleus====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nucleus]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Nuclear Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nuclear Fission]]&lt;br /&gt;
*[[Nuclear Energy from Fission and Fusion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Particle Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39593</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39593"/>
		<updated>2022-04-20T20:19:03Z</updated>

		<summary type="html">&lt;p&gt;Darin: Undo revision 39590 by Darin (talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
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&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick one of the topics from intro physics listed below&lt;br /&gt;
#Add content to that topic or improve the quality of what is already there.&lt;br /&gt;
#Need to make a new topic? Edit this page and add it to the list under the appropriate category.  Then copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax intro physics textbooks: [https://openstax.org/details/books/university-physics-volume-1  Vol1], [https://openstax.org/details/books/university-physics-volume-2  Vol2], [https://openstax.org/details/books/university-physics-volume-3  Vol3]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
* The Feynman lectures on physics are free to read [http://www.feynmanlectures.caltech.edu/ Feynman]&lt;br /&gt;
* Final Study Guide for Modern Physics II created by a lab TA [https://docs.google.com/document/d/1_6GktDPq5tiNFFYs_ZjgjxBAWVQYaXp_2Imha4_nSyc/edit?usp=sharing Modern Physics II Final Study Guide]&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A listing of [[Notable Scientist]] with links to their individual pages &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 1==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====GlowScript 101====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Python Syntax]]&lt;br /&gt;
*[[GlowScript]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====VPython====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Loops]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
*[[VPython Animation]]&lt;br /&gt;
*[[VPython Objects]]&lt;br /&gt;
*[[VPython 3D Objects]]&lt;br /&gt;
*[[VPython Reference]]&lt;br /&gt;
*[[VPython MapReduceFilter]]&lt;br /&gt;
*[[VPython GUIs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Vectors and Units====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Types of Interactions and How to Detect Them]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Velocity and Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Speed]]&lt;br /&gt;
*[[Speed vs Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Derivation of Average Velocity]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[3-Dimensional Position and Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Momentum and the Momentum Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Linear Momentum]]&lt;br /&gt;
*[[Newton&#039;s Second Law: the Momentum Principle]]&lt;br /&gt;
*[[Impulse and Momentum]]&lt;br /&gt;
*[[Net Force]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Acceleration]]&lt;br /&gt;
*[[Relativistic Momentum]]&lt;br /&gt;
&amp;lt;!-- Kinematics and Projectile Motion relocated to Week 3 per advice of Dr. Greco --&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Iterative Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Analytic Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;!-- *[[Analytical Prediction]] Deprecated --&amp;gt;&lt;br /&gt;
*[[Kinematics]]&lt;br /&gt;
*[[Projectile Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Varying Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Fundamentals of Iterative Prediction with Varying Force]]&lt;br /&gt;
*[[Spring_Force]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
&amp;lt;!--*[[Hooke&#039;s Law]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
&amp;lt;!--*[[Spring Force]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
*[[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Predicting Change in multiple dimensions]]&lt;br /&gt;
*[[Two Dimensional Harmonic Motion]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Fundamental Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Gravitational Force Near Earth]]&lt;br /&gt;
*[[Gravitational Force in Space and Other Applications]]&lt;br /&gt;
*[[3 or More Body Interactions]]&lt;br /&gt;
&amp;lt;!--[[Fluid Mechanics]]--&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Introduction to Magnetic Force]]&lt;br /&gt;
*[[Strong and Weak Force]]&lt;br /&gt;
*[[Reciprocity]]&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Properties of Matter====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
*[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
*[[Young&#039;s Modulus]]&lt;br /&gt;
*[[Speed of Sound in Solids]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Ductility]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Hardness]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Change of State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Identifying Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Inclined Plane]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
*[[Tension]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Curving Motion====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Curving Motion]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Energy Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Energy of a Single Particle]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Work/Energy]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Work by Non-Constant Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Work Done By A Nonconstant Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Potential Energy of Macroscopic Springs]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
*[[Ball and Spring Model]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Escape Velocity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Multiparticle Systems====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Multi-particle analysis of Momentum]]&lt;br /&gt;
*[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Choice of System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[System &amp;amp; Surroundings]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Thermal Energy, Dissipation, and Transfer of Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Calorific Value(Heat of combustion)]]&lt;br /&gt;
*[[First Law of Thermodynamics]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Temperature]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Rotational and Vibrational Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Rolling Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Different Models of a System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Friction====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Friction]]&lt;br /&gt;
*[[Static Friction]]&lt;br /&gt;
*[[Kinetic Friction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conservation of Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Collisions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rotations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rotational Kinematics]]&lt;br /&gt;
*[[Eulerian Angles]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Angular Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Total Angular Momentum]]&lt;br /&gt;
*[[Translational Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[The Angular Momentum Principle]]&lt;br /&gt;
*[[Angular Impulse]]&lt;br /&gt;
*[[Predicting the Position of a Rotating System]]&lt;br /&gt;
*[[The Moments of Inertia]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Analyzing Motion with and without Torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Torque]]&lt;br /&gt;
*[[Torque 2]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
*[[Systems with Nonzero Torque]]&lt;br /&gt;
*[[Torque vs Work]]&lt;br /&gt;
*[[Gyroscopes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Introduction to Quantum Concepts====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Electron transitions]]&lt;br /&gt;
*[[Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 2==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====3D Vectors====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Field and Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field of a point particle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Charge]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Superposition====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superposition Principle]]&lt;br /&gt;
*[[Superposition principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Dipole]]&lt;br /&gt;
*[[Magnetic Dipole]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Interactions of charged objects====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Tape experiments====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Polarization====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Polarization of an Atom]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conductors and Insulators====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conductivity and Resistivity]]&lt;br /&gt;
*[[Insulators]]&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Conductors]]&lt;br /&gt;
*[[Polarization of a conductor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Charging and Discharging====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Electrostatic Discharge]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged rod====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Field of a Charged Rod|Charged Rod]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged ring/disk/capacitor====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Ring]]&lt;br /&gt;
*[[Charged Disk]]&lt;br /&gt;
*[[Charged Capacitor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged sphere====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Spherical Shell]]&lt;br /&gt;
*[[Field of a Charged Ball]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]] &lt;br /&gt;
*[[Potential Difference in a Uniform Field]]&lt;br /&gt;
*[[Potential Difference of Point Charge in a Non-Uniform Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sign of a potential difference====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sign of a Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential at a single location====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Potential Difference at One Location]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Path independence and round trip potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in an insulator====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Electric Field in an Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Moving charges in a magnetic field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Biot-Savart Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Biot-Savart Law]]&lt;br /&gt;
*[[Biot-Savart Law for Currents]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Moving charges, electron current, and conventional current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Moving Point Charge]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a wire====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Magnetic field of a current-carrying loop====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Loop]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a Charged Disk====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Disk]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Dipole Moment]]&lt;br /&gt;
*[[Bar Magnet]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Atomic structure of magnets====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Atomic Structure of Magnets]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Steady state current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Kirchoff&#039;s Laws====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kirchoff&#039;s Laws]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric fields and energy in circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Macroscopic analysis of circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[Parallel Circuits vs. Series Circuits*]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Fundamentals of Resistance]]&lt;br /&gt;
*[[Problem Solving]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in circuits with capacitors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[RC Circuit]] &lt;br /&gt;
*[[R Circuit]]&lt;br /&gt;
*[[AC and DC]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic forces on charges and currents====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Motors and Generators]]&lt;br /&gt;
*[[Applying Magnetic Force to Currents]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Analysis of Railgun vs Coil gun technologies]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric and magnetic forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[VPython Modelling of Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Velocity selector====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Hall Effect====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Hall Effect]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Alayna Baker Spring 2020&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Hall Effect 1.jpg]]&lt;br /&gt;
[[File:Hall Effect 2.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
]]]====Motional EMF====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Adeline Boswell Fall 2019&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Motional EMF Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;http://www.physicsbook.gatech.edu/Special:RecentChangesLinked/Main_Page&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
If you have a bar attached to two rails, and the rails are connected by a resistor, you have effectively created a circuit. As the bar moves, it creates an &amp;quot;electromotive force&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[[File:MotEMFCR.jpg]]&lt;br /&gt;
&lt;br /&gt;
====Magnetic force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Gauss&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Ampere&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Solenoid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[The Differential Form of Ampere&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Semiconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Faraday&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Lenz&#039;s Law]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Maxwell&#039;s equations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Circuits revisited====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Inductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Inductors]]&lt;br /&gt;
*[[Current in an LC Circuit]]&lt;br /&gt;
*[[Current in an RL Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
==== Electromagnetic Radiation ====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Radiation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sparks in the air====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sparks in Air]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Superconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superconducters]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
*[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 3==&lt;br /&gt;
&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Classical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Special Relativity====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Albert A. Micheleson &amp;amp; Edward W. Morley]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Photons====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Light Scattering: Why is the Sky Blue]]&lt;br /&gt;
*[[Lasers]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Matter Waves====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Particle in a 1-Dimensional box]]&lt;br /&gt;
*[[Heisenberg Uncertainty Principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Schrödinger Equation====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Free Particle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Particle in an Infinite Quantum Well - Darin]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Wave Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Standing Waves]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Wavelength and Frequency]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Quantum Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Tunneling as a Mechanism for Radioactive Decay]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rutherford-Bohr Model====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hydrogen Atom====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Many-Electron Atoms====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Pauli exclusion principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Molecules====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Molecules]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Statistical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Application of Statistics in Physics]]&lt;br /&gt;
*[[Temperature &amp;amp; Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Condensed Matter Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Nucleus====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nucleus]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Nuclear Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nuclear Fission]]&lt;br /&gt;
*[[Nuclear Energy from Fission and Fusion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Particle Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39590</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39590"/>
		<updated>2022-04-20T20:18:24Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Schrödinger Equation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
= &#039;&#039;&#039;Georgia Tech Student Wiki for Introductory Physics.&#039;&#039;&#039; =&lt;br /&gt;
&lt;br /&gt;
This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook.  When reading this website, please correct any errors you may come across. If you read something that isn&#039;t clear, please consider revising it for future students!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick one of the topics from intro physics listed below&lt;br /&gt;
#Add content to that topic or improve the quality of what is already there.&lt;br /&gt;
#Need to make a new topic? Edit this page and add it to the list under the appropriate category.  Then copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax intro physics textbooks: [https://openstax.org/details/books/university-physics-volume-1  Vol1], [https://openstax.org/details/books/university-physics-volume-2  Vol2], [https://openstax.org/details/books/university-physics-volume-3  Vol3]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
* The Feynman lectures on physics are free to read [http://www.feynmanlectures.caltech.edu/ Feynman]&lt;br /&gt;
* Final Study Guide for Modern Physics II created by a lab TA [https://docs.google.com/document/d/1_6GktDPq5tiNFFYs_ZjgjxBAWVQYaXp_2Imha4_nSyc/edit?usp=sharing Modern Physics II Final Study Guide]&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A listing of [[Notable Scientist]] with links to their individual pages &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 1==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====GlowScript 101====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Python Syntax]]&lt;br /&gt;
*[[GlowScript]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====VPython====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Loops]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
*[[VPython Animation]]&lt;br /&gt;
*[[VPython Objects]]&lt;br /&gt;
*[[VPython 3D Objects]]&lt;br /&gt;
*[[VPython Reference]]&lt;br /&gt;
*[[VPython MapReduceFilter]]&lt;br /&gt;
*[[VPython GUIs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Vectors and Units====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Types of Interactions and How to Detect Them]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Velocity and Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Speed]]&lt;br /&gt;
*[[Speed vs Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Derivation of Average Velocity]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[3-Dimensional Position and Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Momentum and the Momentum Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Linear Momentum]]&lt;br /&gt;
*[[Newton&#039;s Second Law: the Momentum Principle]]&lt;br /&gt;
*[[Impulse and Momentum]]&lt;br /&gt;
*[[Net Force]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Acceleration]]&lt;br /&gt;
*[[Relativistic Momentum]]&lt;br /&gt;
&amp;lt;!-- Kinematics and Projectile Motion relocated to Week 3 per advice of Dr. Greco --&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Iterative Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Analytic Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;!-- *[[Analytical Prediction]] Deprecated --&amp;gt;&lt;br /&gt;
*[[Kinematics]]&lt;br /&gt;
*[[Projectile Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Varying Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Fundamentals of Iterative Prediction with Varying Force]]&lt;br /&gt;
*[[Spring_Force]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
&amp;lt;!--*[[Hooke&#039;s Law]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
&amp;lt;!--*[[Spring Force]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
*[[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Predicting Change in multiple dimensions]]&lt;br /&gt;
*[[Two Dimensional Harmonic Motion]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Fundamental Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Gravitational Force Near Earth]]&lt;br /&gt;
*[[Gravitational Force in Space and Other Applications]]&lt;br /&gt;
*[[3 or More Body Interactions]]&lt;br /&gt;
&amp;lt;!--[[Fluid Mechanics]]--&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Introduction to Magnetic Force]]&lt;br /&gt;
*[[Strong and Weak Force]]&lt;br /&gt;
*[[Reciprocity]]&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Properties of Matter====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
*[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
*[[Young&#039;s Modulus]]&lt;br /&gt;
*[[Speed of Sound in Solids]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Ductility]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Hardness]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Change of State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Identifying Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Inclined Plane]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
*[[Tension]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Curving Motion====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Curving Motion]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Energy Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Energy of a Single Particle]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Work/Energy]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Work by Non-Constant Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Work Done By A Nonconstant Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Potential Energy of Macroscopic Springs]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
*[[Ball and Spring Model]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Escape Velocity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Multiparticle Systems====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Multi-particle analysis of Momentum]]&lt;br /&gt;
*[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Choice of System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[System &amp;amp; Surroundings]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Thermal Energy, Dissipation, and Transfer of Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Calorific Value(Heat of combustion)]]&lt;br /&gt;
*[[First Law of Thermodynamics]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Temperature]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Rotational and Vibrational Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Rolling Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Different Models of a System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Friction====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Friction]]&lt;br /&gt;
*[[Static Friction]]&lt;br /&gt;
*[[Kinetic Friction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conservation of Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Collisions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rotations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rotational Kinematics]]&lt;br /&gt;
*[[Eulerian Angles]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Angular Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Total Angular Momentum]]&lt;br /&gt;
*[[Translational Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[The Angular Momentum Principle]]&lt;br /&gt;
*[[Angular Impulse]]&lt;br /&gt;
*[[Predicting the Position of a Rotating System]]&lt;br /&gt;
*[[The Moments of Inertia]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Analyzing Motion with and without Torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Torque]]&lt;br /&gt;
*[[Torque 2]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
*[[Systems with Nonzero Torque]]&lt;br /&gt;
*[[Torque vs Work]]&lt;br /&gt;
*[[Gyroscopes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Introduction to Quantum Concepts====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Electron transitions]]&lt;br /&gt;
*[[Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 2==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====3D Vectors====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Field and Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field of a point particle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Charge]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Superposition====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superposition Principle]]&lt;br /&gt;
*[[Superposition principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Dipole]]&lt;br /&gt;
*[[Magnetic Dipole]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Interactions of charged objects====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Tape experiments====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Polarization====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Polarization of an Atom]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conductors and Insulators====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conductivity and Resistivity]]&lt;br /&gt;
*[[Insulators]]&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Conductors]]&lt;br /&gt;
*[[Polarization of a conductor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Charging and Discharging====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Electrostatic Discharge]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged rod====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Field of a Charged Rod|Charged Rod]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged ring/disk/capacitor====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Ring]]&lt;br /&gt;
*[[Charged Disk]]&lt;br /&gt;
*[[Charged Capacitor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged sphere====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Spherical Shell]]&lt;br /&gt;
*[[Field of a Charged Ball]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]] &lt;br /&gt;
*[[Potential Difference in a Uniform Field]]&lt;br /&gt;
*[[Potential Difference of Point Charge in a Non-Uniform Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sign of a potential difference====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sign of a Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential at a single location====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Potential Difference at One Location]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Path independence and round trip potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in an insulator====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Electric Field in an Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Moving charges in a magnetic field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Biot-Savart Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Biot-Savart Law]]&lt;br /&gt;
*[[Biot-Savart Law for Currents]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Moving charges, electron current, and conventional current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Moving Point Charge]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a wire====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Magnetic field of a current-carrying loop====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Loop]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a Charged Disk====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Disk]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Dipole Moment]]&lt;br /&gt;
*[[Bar Magnet]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Atomic structure of magnets====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Atomic Structure of Magnets]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Steady state current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Kirchoff&#039;s Laws====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kirchoff&#039;s Laws]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric fields and energy in circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Macroscopic analysis of circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[Parallel Circuits vs. Series Circuits*]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Fundamentals of Resistance]]&lt;br /&gt;
*[[Problem Solving]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in circuits with capacitors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[RC Circuit]] &lt;br /&gt;
*[[R Circuit]]&lt;br /&gt;
*[[AC and DC]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic forces on charges and currents====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Motors and Generators]]&lt;br /&gt;
*[[Applying Magnetic Force to Currents]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Analysis of Railgun vs Coil gun technologies]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric and magnetic forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[VPython Modelling of Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Velocity selector====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Hall Effect====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Hall Effect]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Alayna Baker Spring 2020&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Hall Effect 1.jpg]]&lt;br /&gt;
[[File:Hall Effect 2.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
]]]====Motional EMF====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Adeline Boswell Fall 2019&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Motional EMF Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;http://www.physicsbook.gatech.edu/Special:RecentChangesLinked/Main_Page&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
If you have a bar attached to two rails, and the rails are connected by a resistor, you have effectively created a circuit. As the bar moves, it creates an &amp;quot;electromotive force&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[[File:MotEMFCR.jpg]]&lt;br /&gt;
&lt;br /&gt;
====Magnetic force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Gauss&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Ampere&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Solenoid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[The Differential Form of Ampere&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Semiconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Faraday&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Lenz&#039;s Law]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Maxwell&#039;s equations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Circuits revisited====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Inductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Inductors]]&lt;br /&gt;
*[[Current in an LC Circuit]]&lt;br /&gt;
*[[Current in an RL Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
==== Electromagnetic Radiation ====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Radiation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sparks in the air====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sparks in Air]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Superconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superconducters]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
*[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 3==&lt;br /&gt;
&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Classical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Special Relativity====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Albert A. Micheleson &amp;amp; Edward W. Morley]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Photons====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Light Scattering: Why is the Sky Blue]]&lt;br /&gt;
*[[Lasers]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Matter Waves====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Particle in a 1-Dimensional box]]&lt;br /&gt;
*[[Heisenberg Uncertainty Principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Schrödinger Equation====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Free Particle]]&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Particle in an Infinite Quantum Well - Darin]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Wave Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Standing Waves]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Wavelength and Frequency]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Quantum Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Tunneling as a Mechanism for Radioactive Decay]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rutherford-Bohr Model====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hydrogen Atom====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Many-Electron Atoms====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Pauli exclusion principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Molecules====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Molecules]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Statistical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Application of Statistics in Physics]]&lt;br /&gt;
*[[Temperature &amp;amp; Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Condensed Matter Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Nucleus====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nucleus]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Nuclear Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nuclear Fission]]&lt;br /&gt;
*[[Nuclear Energy from Fission and Fusion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Particle Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39589</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39589"/>
		<updated>2022-04-20T20:17:40Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Schrödinger Equation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
= &#039;&#039;&#039;Georgia Tech Student Wiki for Introductory Physics.&#039;&#039;&#039; =&lt;br /&gt;
&lt;br /&gt;
This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook.  When reading this website, please correct any errors you may come across. If you read something that isn&#039;t clear, please consider revising it for future students!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick one of the topics from intro physics listed below&lt;br /&gt;
#Add content to that topic or improve the quality of what is already there.&lt;br /&gt;
#Need to make a new topic? Edit this page and add it to the list under the appropriate category.  Then copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax intro physics textbooks: [https://openstax.org/details/books/university-physics-volume-1  Vol1], [https://openstax.org/details/books/university-physics-volume-2  Vol2], [https://openstax.org/details/books/university-physics-volume-3  Vol3]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
* The Feynman lectures on physics are free to read [http://www.feynmanlectures.caltech.edu/ Feynman]&lt;br /&gt;
* Final Study Guide for Modern Physics II created by a lab TA [https://docs.google.com/document/d/1_6GktDPq5tiNFFYs_ZjgjxBAWVQYaXp_2Imha4_nSyc/edit?usp=sharing Modern Physics II Final Study Guide]&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A listing of [[Notable Scientist]] with links to their individual pages &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 1==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====GlowScript 101====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Python Syntax]]&lt;br /&gt;
*[[GlowScript]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====VPython====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Loops]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
*[[VPython Animation]]&lt;br /&gt;
*[[VPython Objects]]&lt;br /&gt;
*[[VPython 3D Objects]]&lt;br /&gt;
*[[VPython Reference]]&lt;br /&gt;
*[[VPython MapReduceFilter]]&lt;br /&gt;
*[[VPython GUIs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Vectors and Units====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Types of Interactions and How to Detect Them]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Velocity and Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Speed]]&lt;br /&gt;
*[[Speed vs Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Derivation of Average Velocity]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[3-Dimensional Position and Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Momentum and the Momentum Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Linear Momentum]]&lt;br /&gt;
*[[Newton&#039;s Second Law: the Momentum Principle]]&lt;br /&gt;
*[[Impulse and Momentum]]&lt;br /&gt;
*[[Net Force]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Acceleration]]&lt;br /&gt;
*[[Relativistic Momentum]]&lt;br /&gt;
&amp;lt;!-- Kinematics and Projectile Motion relocated to Week 3 per advice of Dr. Greco --&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Iterative Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Analytic Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;!-- *[[Analytical Prediction]] Deprecated --&amp;gt;&lt;br /&gt;
*[[Kinematics]]&lt;br /&gt;
*[[Projectile Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Varying Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Fundamentals of Iterative Prediction with Varying Force]]&lt;br /&gt;
*[[Spring_Force]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
&amp;lt;!--*[[Hooke&#039;s Law]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
&amp;lt;!--*[[Spring Force]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
*[[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Predicting Change in multiple dimensions]]&lt;br /&gt;
*[[Two Dimensional Harmonic Motion]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Fundamental Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Gravitational Force Near Earth]]&lt;br /&gt;
*[[Gravitational Force in Space and Other Applications]]&lt;br /&gt;
*[[3 or More Body Interactions]]&lt;br /&gt;
&amp;lt;!--[[Fluid Mechanics]]--&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Introduction to Magnetic Force]]&lt;br /&gt;
*[[Strong and Weak Force]]&lt;br /&gt;
*[[Reciprocity]]&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Properties of Matter====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
*[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
*[[Young&#039;s Modulus]]&lt;br /&gt;
*[[Speed of Sound in Solids]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Ductility]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Hardness]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Change of State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Identifying Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Inclined Plane]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
*[[Tension]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Curving Motion====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Curving Motion]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Energy Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Energy of a Single Particle]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Work/Energy]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Work by Non-Constant Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Work Done By A Nonconstant Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Potential Energy of Macroscopic Springs]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
*[[Ball and Spring Model]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Escape Velocity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Multiparticle Systems====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Multi-particle analysis of Momentum]]&lt;br /&gt;
*[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Choice of System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[System &amp;amp; Surroundings]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Thermal Energy, Dissipation, and Transfer of Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Calorific Value(Heat of combustion)]]&lt;br /&gt;
*[[First Law of Thermodynamics]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Temperature]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Rotational and Vibrational Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Rolling Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Different Models of a System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Friction====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Friction]]&lt;br /&gt;
*[[Static Friction]]&lt;br /&gt;
*[[Kinetic Friction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conservation of Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Collisions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rotations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rotational Kinematics]]&lt;br /&gt;
*[[Eulerian Angles]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Angular Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Total Angular Momentum]]&lt;br /&gt;
*[[Translational Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[The Angular Momentum Principle]]&lt;br /&gt;
*[[Angular Impulse]]&lt;br /&gt;
*[[Predicting the Position of a Rotating System]]&lt;br /&gt;
*[[The Moments of Inertia]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Analyzing Motion with and without Torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Torque]]&lt;br /&gt;
*[[Torque 2]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
*[[Systems with Nonzero Torque]]&lt;br /&gt;
*[[Torque vs Work]]&lt;br /&gt;
*[[Gyroscopes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Introduction to Quantum Concepts====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Electron transitions]]&lt;br /&gt;
*[[Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 2==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====3D Vectors====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Field and Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field of a point particle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Charge]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Superposition====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superposition Principle]]&lt;br /&gt;
*[[Superposition principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Dipole]]&lt;br /&gt;
*[[Magnetic Dipole]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Interactions of charged objects====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Tape experiments====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Polarization====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Polarization of an Atom]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conductors and Insulators====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conductivity and Resistivity]]&lt;br /&gt;
*[[Insulators]]&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Conductors]]&lt;br /&gt;
*[[Polarization of a conductor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Charging and Discharging====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Electrostatic Discharge]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged rod====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Field of a Charged Rod|Charged Rod]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged ring/disk/capacitor====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Ring]]&lt;br /&gt;
*[[Charged Disk]]&lt;br /&gt;
*[[Charged Capacitor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged sphere====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Spherical Shell]]&lt;br /&gt;
*[[Field of a Charged Ball]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]] &lt;br /&gt;
*[[Potential Difference in a Uniform Field]]&lt;br /&gt;
*[[Potential Difference of Point Charge in a Non-Uniform Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sign of a potential difference====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sign of a Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential at a single location====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Potential Difference at One Location]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Path independence and round trip potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in an insulator====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Electric Field in an Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Moving charges in a magnetic field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Biot-Savart Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Biot-Savart Law]]&lt;br /&gt;
*[[Biot-Savart Law for Currents]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Moving charges, electron current, and conventional current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Moving Point Charge]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a wire====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Magnetic field of a current-carrying loop====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Loop]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a Charged Disk====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Disk]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Dipole Moment]]&lt;br /&gt;
*[[Bar Magnet]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Atomic structure of magnets====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Atomic Structure of Magnets]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Steady state current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Kirchoff&#039;s Laws====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kirchoff&#039;s Laws]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric fields and energy in circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Macroscopic analysis of circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[Parallel Circuits vs. Series Circuits*]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Fundamentals of Resistance]]&lt;br /&gt;
*[[Problem Solving]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in circuits with capacitors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[RC Circuit]] &lt;br /&gt;
*[[R Circuit]]&lt;br /&gt;
*[[AC and DC]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic forces on charges and currents====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Motors and Generators]]&lt;br /&gt;
*[[Applying Magnetic Force to Currents]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Analysis of Railgun vs Coil gun technologies]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric and magnetic forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[VPython Modelling of Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Velocity selector====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Hall Effect====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Hall Effect]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Alayna Baker Spring 2020&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Hall Effect 1.jpg]]&lt;br /&gt;
[[File:Hall Effect 2.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
]]]====Motional EMF====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Adeline Boswell Fall 2019&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Motional EMF Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;http://www.physicsbook.gatech.edu/Special:RecentChangesLinked/Main_Page&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
If you have a bar attached to two rails, and the rails are connected by a resistor, you have effectively created a circuit. As the bar moves, it creates an &amp;quot;electromotive force&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[[File:MotEMFCR.jpg]]&lt;br /&gt;
&lt;br /&gt;
====Magnetic force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Gauss&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Ampere&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Solenoid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[The Differential Form of Ampere&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Semiconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Faraday&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Lenz&#039;s Law]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Maxwell&#039;s equations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Circuits revisited====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Inductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Inductors]]&lt;br /&gt;
*[[Current in an LC Circuit]]&lt;br /&gt;
*[[Current in an RL Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
==== Electromagnetic Radiation ====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Radiation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sparks in the air====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sparks in Air]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Superconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superconducters]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
*[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 3==&lt;br /&gt;
&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Classical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Special Relativity====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Albert A. Micheleson &amp;amp; Edward W. Morley]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Photons====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Light Scattering: Why is the Sky Blue]]&lt;br /&gt;
*[[Lasers]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Matter Waves====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Particle in a 1-Dimensional box]]&lt;br /&gt;
*[[Heisenberg Uncertainty Principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Schrödinger Equation====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Free Particle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Particle in an Infinite Quantum Well - Darin]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Wave Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Standing Waves]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Wavelength and Frequency]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Quantum Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Tunneling as a Mechanism for Radioactive Decay]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rutherford-Bohr Model====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hydrogen Atom====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Many-Electron Atoms====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Pauli exclusion principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Molecules====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Molecules]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Statistical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Application of Statistics in Physics]]&lt;br /&gt;
*[[Temperature &amp;amp; Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Condensed Matter Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Nucleus====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nucleus]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Nuclear Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nuclear Fission]]&lt;br /&gt;
*[[Nuclear Energy from Fission and Fusion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Particle Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39588</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=39588"/>
		<updated>2022-04-20T20:17:11Z</updated>

		<summary type="html">&lt;p&gt;Darin: /* Schrödinger Equation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
= &#039;&#039;&#039;Georgia Tech Student Wiki for Introductory Physics.&#039;&#039;&#039; =&lt;br /&gt;
&lt;br /&gt;
This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook.  When reading this website, please correct any errors you may come across. If you read something that isn&#039;t clear, please consider revising it for future students!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick one of the topics from intro physics listed below&lt;br /&gt;
#Add content to that topic or improve the quality of what is already there.&lt;br /&gt;
#Need to make a new topic? Edit this page and add it to the list under the appropriate category.  Then copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax intro physics textbooks: [https://openstax.org/details/books/university-physics-volume-1  Vol1], [https://openstax.org/details/books/university-physics-volume-2  Vol2], [https://openstax.org/details/books/university-physics-volume-3  Vol3]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
* The Feynman lectures on physics are free to read [http://www.feynmanlectures.caltech.edu/ Feynman]&lt;br /&gt;
* Final Study Guide for Modern Physics II created by a lab TA [https://docs.google.com/document/d/1_6GktDPq5tiNFFYs_ZjgjxBAWVQYaXp_2Imha4_nSyc/edit?usp=sharing Modern Physics II Final Study Guide]&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A listing of [[Notable Scientist]] with links to their individual pages &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 1==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====GlowScript 101====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Python Syntax]]&lt;br /&gt;
*[[GlowScript]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====VPython====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Loops]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
*[[VPython Animation]]&lt;br /&gt;
*[[VPython Objects]]&lt;br /&gt;
*[[VPython 3D Objects]]&lt;br /&gt;
*[[VPython Reference]]&lt;br /&gt;
*[[VPython MapReduceFilter]]&lt;br /&gt;
*[[VPython GUIs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Vectors and Units====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Types of Interactions and How to Detect Them]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Velocity and Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Speed]]&lt;br /&gt;
*[[Speed vs Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Derivation of Average Velocity]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[3-Dimensional Position and Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Momentum and the Momentum Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Linear Momentum]]&lt;br /&gt;
*[[Newton&#039;s Second Law: the Momentum Principle]]&lt;br /&gt;
*[[Impulse and Momentum]]&lt;br /&gt;
*[[Net Force]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Acceleration]]&lt;br /&gt;
*[[Relativistic Momentum]]&lt;br /&gt;
&amp;lt;!-- Kinematics and Projectile Motion relocated to Week 3 per advice of Dr. Greco --&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Iterative Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Analytic Prediction with a Constant Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;!-- *[[Analytical Prediction]] Deprecated --&amp;gt;&lt;br /&gt;
*[[Kinematics]]&lt;br /&gt;
*[[Projectile Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Iterative Prediction with a Varying Force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Fundamentals of Iterative Prediction with Varying Force]]&lt;br /&gt;
*[[Spring_Force]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
&amp;lt;!--*[[Hooke&#039;s Law]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
&amp;lt;!--*[[Spring Force]] folded into simple harmonic motion--&amp;gt;&lt;br /&gt;
*[[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Predicting Change in multiple dimensions]]&lt;br /&gt;
*[[Two Dimensional Harmonic Motion]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Fundamental Interactions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Gravitational Force Near Earth]]&lt;br /&gt;
*[[Gravitational Force in Space and Other Applications]]&lt;br /&gt;
*[[3 or More Body Interactions]]&lt;br /&gt;
&amp;lt;!--[[Fluid Mechanics]]--&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Introduction to Magnetic Force]]&lt;br /&gt;
*[[Strong and Weak Force]]&lt;br /&gt;
*[[Reciprocity]]&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Properties of Matter====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
*[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
*[[Young&#039;s Modulus]]&lt;br /&gt;
*[[Speed of Sound in Solids]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Ductility]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Hardness]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Change of State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Identifying Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Inclined Plane]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
*[[Tension]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Curving Motion====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Curving Motion]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Energy Principle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Energy of a Single Particle]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Work/Energy]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Work by Non-Constant Forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Work Done By A Nonconstant Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Potential Energy of Macroscopic Springs]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
*[[Ball and Spring Model]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Escape Velocity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Multiparticle Systems====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Multi-particle analysis of Momentum]]&lt;br /&gt;
*[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Choice of System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[System &amp;amp; Surroundings]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Thermal Energy, Dissipation, and Transfer of Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Calorific Value(Heat of combustion)]]&lt;br /&gt;
*[[First Law of Thermodynamics]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Temperature]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Rotational and Vibrational Energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Rolling Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Different Models of a System====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Friction====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Friction]]&lt;br /&gt;
*[[Static Friction]]&lt;br /&gt;
*[[Kinetic Friction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conservation of Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Collisions====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rotations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rotational Kinematics]]&lt;br /&gt;
*[[Eulerian Angles]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Angular Momentum====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Total Angular Momentum]]&lt;br /&gt;
*[[Translational Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[The Angular Momentum Principle]]&lt;br /&gt;
*[[Angular Impulse]]&lt;br /&gt;
*[[Predicting the Position of a Rotating System]]&lt;br /&gt;
*[[The Moments of Inertia]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Analyzing Motion with and without Torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Torque]]&lt;br /&gt;
*[[Torque 2]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
*[[Systems with Nonzero Torque]]&lt;br /&gt;
*[[Torque vs Work]]&lt;br /&gt;
*[[Gyroscopes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Introduction to Quantum Concepts====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Electron transitions]]&lt;br /&gt;
*[[Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 2==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====3D Vectors====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Field and Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric field of a point particle====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Charge]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Superposition====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superposition Principle]]&lt;br /&gt;
*[[Superposition principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Dipole]]&lt;br /&gt;
*[[Magnetic Dipole]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Interactions of charged objects====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Tape experiments====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Polarization====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Polarization of an Atom]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conductors and Insulators====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conductivity and Resistivity]]&lt;br /&gt;
*[[Insulators]]&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Conductors]]&lt;br /&gt;
*[[Polarization of a conductor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Charging and Discharging====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Electrostatic Discharge]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged rod====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Field of a Charged Rod|Charged Rod]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged ring/disk/capacitor====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Ring]]&lt;br /&gt;
*[[Charged Disk]]&lt;br /&gt;
*[[Charged Capacitor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged sphere====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Spherical Shell]]&lt;br /&gt;
*[[Field of a Charged Ball]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]] &lt;br /&gt;
*[[Potential Difference in a Uniform Field]]&lt;br /&gt;
*[[Potential Difference of Point Charge in a Non-Uniform Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sign of a potential difference====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sign of a Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential at a single location====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Potential Difference at One Location]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Path independence and round trip potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in an insulator====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Electric Field in an Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Moving charges in a magnetic field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Biot-Savart Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Biot-Savart Law]]&lt;br /&gt;
*[[Biot-Savart Law for Currents]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Moving charges, electron current, and conventional current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Moving Point Charge]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a wire====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Magnetic field of a current-carrying loop====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Loop]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a Charged Disk====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Disk]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Dipole Moment]]&lt;br /&gt;
*[[Bar Magnet]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Atomic structure of magnets====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Atomic Structure of Magnets]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Steady state current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Kirchoff&#039;s Laws====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kirchoff&#039;s Laws]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric fields and energy in circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential Difference]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Macroscopic analysis of circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[Parallel Circuits vs. Series Circuits*]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Fundamentals of Resistance]]&lt;br /&gt;
*[[Problem Solving]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in circuits with capacitors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[RC Circuit]] &lt;br /&gt;
*[[R Circuit]]&lt;br /&gt;
*[[AC and DC]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic forces on charges and currents====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Motors and Generators]]&lt;br /&gt;
*[[Applying Magnetic Force to Currents]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Analysis of Railgun vs Coil gun technologies]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Electric and magnetic forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[VPython Modelling of Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Velocity selector====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Hall Effect====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Hall Effect]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Alayna Baker Spring 2020&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Hall Effect 1.jpg]]&lt;br /&gt;
[[File:Hall Effect 2.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
]]]====Motional EMF====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
&amp;lt;h1&amp;gt;&amp;lt;strong&amp;gt;Adeline Boswell Fall 2019&amp;lt;/strong&amp;gt;&amp;lt;/h1&amp;gt;&lt;br /&gt;
[[File:Motional EMF Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;http://www.physicsbook.gatech.edu/Special:RecentChangesLinked/Main_Page&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
If you have a bar attached to two rails, and the rails are connected by a resistor, you have effectively created a circuit. As the bar moves, it creates an &amp;quot;electromotive force&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[[File:MotEMFCR.jpg]]&lt;br /&gt;
&lt;br /&gt;
====Magnetic force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Gauss&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Ampere&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Solenoid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[The Differential Form of Ampere&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Semiconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Faraday&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Lenz&#039;s Law]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Maxwell&#039;s equations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Circuits revisited====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Inductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Inductors]]&lt;br /&gt;
*[[Current in an LC Circuit]]&lt;br /&gt;
*[[Current in an RL Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
==== Electromagnetic Radiation ====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Radiation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sparks in the air====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sparks in Air]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Superconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superconducters]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
*[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 3==&lt;br /&gt;
&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Classical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Special Relativity====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Albert A. Micheleson &amp;amp; Edward W. Morley]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Photons====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Light Scattering: Why is the Sky Blue]]&lt;br /&gt;
*[[Lasers]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Matter Waves====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Particle in a 1-Dimensional box]]&lt;br /&gt;
*[[Heisenberg Uncertainty Principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Schrödinger Equation====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Free Particle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Solution for a Single Free Particle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Wave Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Standing Waves]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Wavelength and Frequency]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Quantum Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Tunneling as a Mechanism for Radioactive Decay]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rutherford-Bohr Model====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hydrogen Atom====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Many-Electron Atoms====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Pauli exclusion principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Molecules====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Molecules]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Statistical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[Application of Statistics in Physics]]&lt;br /&gt;
*[[Temperature &amp;amp; Entropy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Condensed Matter Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Nucleus====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nucleus]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Nuclear Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nuclear Fission]]&lt;br /&gt;
*[[Nuclear Energy from Fission and Fusion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Particle Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Darin</name></author>
	</entry>
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