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		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12903</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12903"/>
		<updated>2015-12-05T00:07:46Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
[[File:Heisenberg.jpg|right]]&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics (not to be confused with [https://www.youtube.com/watch?v=dy_DASt7hDs the drug mastermind from Albuquerque]). He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms. The principle is explained well in this graphic:&lt;br /&gt;
&lt;br /&gt;
[[File:unc2.gif|center]]&lt;br /&gt;
&lt;br /&gt;
When a particle&#039;s precise momentum is known, it can be represented with a perfect sine wave of wavelength &amp;amp;lambda;. While this momentum is known, the exact location of the particle is spread infinitely across the entire x-axis. However (as seen in the picture), adding together momenta with differing wavelengths will cause destructive interference, narrowing the possible area that the particle can be. As more momenta are added, the possible area for the particle&#039;s position decreases, which makes us more sure about it&#039;s position. However, as more and more momenta are added, the less is known about the particle&#039;s momentum. Thus, only one measurement can be precise.&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Physics and Philosophy: The Revolution in Modern Science&#039;&#039; by Werner Heisenberg. Harper Perennial Modern Classics, 1999.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Physics and Beyond: Encounters and Conversations&#039;&#039; by Werner Heisenberg. Harper Collins Ltd Edition, 1971.&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Werner_Heisenberg&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-bio.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
http://hyperphysics.phy-astr.gsu.edu/hbase/uncer.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Notable Scientists]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Heisenberg.jpg&amp;diff=12900</id>
		<title>File:Heisenberg.jpg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Heisenberg.jpg&amp;diff=12900"/>
		<updated>2015-12-05T00:07:00Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12897</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12897"/>
		<updated>2015-12-05T00:05:17Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
[[File:Bundesarchiv Bild183-R57262, Werner Heisenberg.jpg|right]]&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics (not to be confused with [https://www.youtube.com/watch?v=dy_DASt7hDs the drug mastermind from Albuquerque]). He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms. The principle is explained well in this graphic:&lt;br /&gt;
&lt;br /&gt;
[[File:unc2.gif|center]]&lt;br /&gt;
&lt;br /&gt;
When a particle&#039;s precise momentum is known, it can be represented with a perfect sine wave of wavelength &amp;amp;lambda;. While this momentum is known, the exact location of the particle is spread infinitely across the entire x-axis. However (as seen in the picture), adding together momenta with differing wavelengths will cause destructive interference, narrowing the possible area that the particle can be. As more momenta are added, the possible area for the particle&#039;s position decreases, which makes us more sure about it&#039;s position. However, as more and more momenta are added, the less is known about the particle&#039;s momentum. Thus, only one measurement can be precise.&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Physics and Philosophy: The Revolution in Modern Science&#039;&#039; by Werner Heisenberg. Harper Perennial Modern Classics, 1999.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Physics and Beyond: Encounters and Conversations&#039;&#039; by Werner Heisenberg. Harper Collins Ltd Edition, 1971.&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Werner_Heisenberg&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-bio.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
http://hyperphysics.phy-astr.gsu.edu/hbase/uncer.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Notable Scientists]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Bundesarchiv_Bild183-R57262,_Werner_Heisenberg.jpg&amp;diff=12891</id>
		<title>File:Bundesarchiv Bild183-R57262, Werner Heisenberg.jpg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Bundesarchiv_Bild183-R57262,_Werner_Heisenberg.jpg&amp;diff=12891"/>
		<updated>2015-12-05T00:01:42Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12888</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12888"/>
		<updated>2015-12-05T00:00:36Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics (not to be confused with [https://www.youtube.com/watch?v=dy_DASt7hDs the drug mastermind from Albuquerque]). He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms. The principle is explained well in this graphic:&lt;br /&gt;
&lt;br /&gt;
[[File:unc2.gif|center]]&lt;br /&gt;
&lt;br /&gt;
When a particle&#039;s precise momentum is known, it can be represented with a perfect sine wave of wavelength &amp;amp;lambda;. While this momentum is known, the exact location of the particle is spread infinitely across the entire x-axis. However (as seen in the picture), adding together momenta with differing wavelengths will cause destructive interference, narrowing the possible area that the particle can be. As more momenta are added, the possible area for the particle&#039;s position decreases, which makes us more sure about it&#039;s position. However, as more and more momenta are added, the less is known about the particle&#039;s momentum. Thus, only one measurement can be precise.&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Physics and Philosophy: The Revolution in Modern Science&#039;&#039; by Werner Heisenberg. Harper Perennial Modern Classics, 1999.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Physics and Beyond: Encounters and Conversations&#039;&#039; by Werner Heisenberg. Harper Collins Ltd Edition, 1971.&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Werner_Heisenberg&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-bio.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
http://hyperphysics.phy-astr.gsu.edu/hbase/uncer.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Notable Scientists]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12806</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12806"/>
		<updated>2015-12-04T22:55:13Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms. The principle is explained well in this graphic:&lt;br /&gt;
&lt;br /&gt;
[[File:unc2.gif|center]]&lt;br /&gt;
&lt;br /&gt;
When a particle&#039;s precise momentum is known, it can be represented with a perfect sine wave of wavelength &amp;amp;lambda;. While this momentum is known, the exact location of the particle is spread infinitely across the entire x-axis. However (as seen in the picture), adding together momenta with differing wavelengths will cause destructive interference, narrowing the possible area that the particle can be. As more momenta are added, the possible area for the particle&#039;s position decreases, which makes us more sure about it&#039;s position. However, as more and more momenta are added, the less is known about the particle&#039;s momentum. Thus, only one measurement can be precise.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12725</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12725"/>
		<updated>2015-12-04T22:10:08Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms. The principle is explained well in this graphic.&lt;br /&gt;
&lt;br /&gt;
[[File:unc2.gif|center]]&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Unc2.gif&amp;diff=12719</id>
		<title>File:Unc2.gif</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Unc2.gif&amp;diff=12719"/>
		<updated>2015-12-04T22:08:13Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12399</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=12399"/>
		<updated>2015-12-04T20:02:17Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms. The principle is explained well in this graphic.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=11123</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=11123"/>
		<updated>2015-12-04T01:26:12Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. This inequality represents the Principle well, because as the standard deviation (the accuracy with which we are measuring the value) of one of the values decreases (gets more accurate), the standard deviation of the other value must increase (become more inaccurate) in order to be greater than or equal to h-bar divided by 2.&lt;br /&gt;
&lt;br /&gt;
The Principle can also be understood through physical terms.  &lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=11112</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=11112"/>
		<updated>2015-12-04T01:22:31Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;amp;sigma;x represents the standard deviation of the position of the particle, where &amp;amp;sigma;p represents the standard deviation of the momentum of the particle, and h-bar is Planck&#039;s constant divided by 2&amp;amp;pi;. &lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=11104</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=11104"/>
		<updated>2015-12-04T01:19:00Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this inequality:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \sigma_{x}\sigma_{p} \geq \frac{\hbar}{2} ~~&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=7915</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=7915"/>
		<updated>2015-12-02T06:31:26Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). Heisenberg&#039;s breakthrough, to put it simply, was that in order calculations for particles could not be done using classical arithmetic, but instead with matrices. This version of quantum mechanics was known as &amp;quot;matrix mechanics.&amp;quot; This approach to the physics of the atom was revolutionary at the time, because it had a completely different approach to this branch of physics and rejected the classical approach.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===The Uncertainty Principle===&lt;br /&gt;
&lt;br /&gt;
The Uncertainty Principle is the discovery for which Heisenberg is most well known. As Heisenberg himself put it, the principle states &amp;quot;The more precisely the position [of a particle] is determined, the less precisely the momentum is known in this instant, and vice versa.&amp;quot; This is not a statement concerning the inevitable error brought upon by using imprecise equipment: the uncertainty would still exist even with perfect instruments. Mathematically, the Uncertainty Principle is represented with this equality:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Louis_de_Broglie&amp;diff=7135</id>
		<title>Louis de Broglie</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Louis_de_Broglie&amp;diff=7135"/>
		<updated>2015-12-02T00:50:14Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: Created page with &amp;quot;claimed by William Mitchell&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;claimed by William Mitchell&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=7134</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=7134"/>
		<updated>2015-12-02T00:49:59Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: /* Notable Scientists */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
Welcome to the Georgia Tech Wiki for Intro Physics.  This resources 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!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick a specific topic from intro physics&lt;br /&gt;
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.&lt;br /&gt;
#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 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 algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]&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;
&lt;br /&gt;
== Organizing Categories ==&lt;br /&gt;
These are the broad, overarching categories, that we cover in two semester of introductory physics.  You can add subcategories or make a new category as needed.  A single topic should direct readers to a page in one of these catagories.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
===Interactions===&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;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]  &lt;br /&gt;
*[[System &amp;amp; Surroundings]] &lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Second Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Conservation of Charge]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
*[[2-Dimensional 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;
===Theory===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Big Bang Theory]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[String Theory]]&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;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Christian Doppler]]&lt;br /&gt;
*[[Albert Einstein]]&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
*[[Joseph Henry]]&lt;br /&gt;
*[[Michael Faraday]]&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
*[[James Maxwell]]&lt;br /&gt;
*[[Robert Hooke]]&lt;br /&gt;
*[[Carl Friedrich Gauss]]&lt;br /&gt;
*[[Nikola Tesla]]&lt;br /&gt;
*[[Andre Marie Ampere]]&lt;br /&gt;
*[[Sir Isaac Newton]]&lt;br /&gt;
*[[J. Robert Oppenheimer]]&lt;br /&gt;
*[[Oliver Heaviside]]&lt;br /&gt;
*[[Rosalind Franklin]]&lt;br /&gt;
*[[Erwin Schrödinger]]&lt;br /&gt;
*[[Enrico Fermi]]&lt;br /&gt;
*[[Robert J. Van de Graaff]]&lt;br /&gt;
*[[Charles de Coulomb]]&lt;br /&gt;
*[[Hans Christian Ørsted]]&lt;br /&gt;
*[[Philo Farnsworth]]&lt;br /&gt;
*[[Niels Bohr]]&lt;br /&gt;
*[[Georg Ohm]]&lt;br /&gt;
*[[Galileo Galilei]]&lt;br /&gt;
*[[Gustav Kirchhoff]]&lt;br /&gt;
*[[Max Planck]]&lt;br /&gt;
*[[Heinrich Hertz]]&lt;br /&gt;
*[[Edwin Hall]]&lt;br /&gt;
*[[James Watt]]&lt;br /&gt;
*[[Count Alessandro Volta]]&lt;br /&gt;
*[[Josiah Willard Gibbs]]&lt;br /&gt;
*[[Richard Phillips Feynman]]&lt;br /&gt;
*[[Sir David Brewster]]&lt;br /&gt;
*[[Daniel Bernoulli]]&lt;br /&gt;
*[[William Thomson]]&lt;br /&gt;
*[[Leonhard Euler]]&lt;br /&gt;
*[[Robert Fox Bacher]]&lt;br /&gt;
*[[Stephen Hawking]]&lt;br /&gt;
*[[Amedeo Avogadro]]&lt;br /&gt;
*[[Wilhelm Conrad Roentgen]]&lt;br /&gt;
*[[Pierre Laplace]]&lt;br /&gt;
*[[Thomas Edison]]&lt;br /&gt;
*[[Hendrik Lorentz]]&lt;br /&gt;
*[[Jean-Baptiste Biot]]&lt;br /&gt;
*[[Lise Meitner]]&lt;br /&gt;
*[[Lisa Randall]]&lt;br /&gt;
*[[Felix Savart]]&lt;br /&gt;
*[[Heinrich Lenz]]&lt;br /&gt;
*[[Max Born]]&lt;br /&gt;
*[[Archimedes]]&lt;br /&gt;
*[[Jean Baptiste Biot]]&lt;br /&gt;
*[[Carl Sagan]]&lt;br /&gt;
*[[Eugene Wigner]]&lt;br /&gt;
*[[Marie Curie]]&lt;br /&gt;
*[[Pierre Curie]]&lt;br /&gt;
*[[Werner Heisenberg]]&lt;br /&gt;
*[[Johannes Diderik van der Waals]]&lt;br /&gt;
*[[Louis de Broglie]]&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;
===Properties of Matter===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Higgs Boson]]&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;
===Contact Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Young&#039;s Modulus]]&lt;br /&gt;
* [[Friction]]&lt;br /&gt;
* [[Tension]]&lt;br /&gt;
* [[Hooke&#039;s Law]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
* [[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
* [[Speed of Sound in a Solid]]&lt;br /&gt;
* [[Iterative Prediction of Spring-Mass System]]&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;
===Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Vectors]]&lt;br /&gt;
* [[Kinematics]]&lt;br /&gt;
* [[Conservation of Momentum]]&lt;br /&gt;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
* [[Newton&#039;s Laws and Linear Momentum]]&lt;br /&gt;
* [[Net Force]]&lt;br /&gt;
* [[Center of Mass]]&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;
===Angular Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[The Moments of Inertia]]&lt;br /&gt;
* [[Moment of Inertia for a ring]]&lt;br /&gt;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
* [[Systems with Zero Torque]]&lt;br /&gt;
* [[Systems with Nonzero Torque]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting the Position of a Rotating System]]&lt;br /&gt;
* [[Translational Angular Momentum]]&lt;br /&gt;
* [[The Angular Momentum Principle]]&lt;br /&gt;
* [[Rotational Angular Momentum]]&lt;br /&gt;
* [[Total Angular Momentum]]&lt;br /&gt;
* [[Gyroscopes]]&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;
===Energy===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
*[[Photons]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
*[[Electronic Energy Levels]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Energy Density]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Path Independence of 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;
===Collisions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&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;
===Fields===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Electric Field]] of a&lt;br /&gt;
** [[Point Charge]]&lt;br /&gt;
** [[Electric Dipole]]&lt;br /&gt;
** [[Capacitor]]&lt;br /&gt;
** [[Charged Rod]]&lt;br /&gt;
** [[Charged Ring]]&lt;br /&gt;
** [[Charged Disk]]&lt;br /&gt;
** [[Charged Spherical Shell]]&lt;br /&gt;
** [[Charged Cylinder]]&lt;br /&gt;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[Electric Potential]] &lt;br /&gt;
**[[Potential Difference Path Independence]]&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;
**[[Sign of Potential Difference]]&lt;br /&gt;
**[[Potential Difference in an Insulator]]&lt;br /&gt;
**[[Energy Density and Electric Field]]&lt;br /&gt;
** [[Systems of Charged Objects]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Charge Motion in Metals]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
**[[Right-Hand Rule]]&lt;br /&gt;
**[[Direction of Magnetic Field]]&lt;br /&gt;
**[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
**[[Magnetic Field of a Loop]]&lt;br /&gt;
**[[Magnetic Field of a Solenoid]]&lt;br /&gt;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Dipole Moment]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&lt;br /&gt;
**[[Biot-Savart Law for Currents]]&lt;br /&gt;
**[[Integration Techniques for Magnetic Field]]&lt;br /&gt;
**[[Sparks in Air]]&lt;br /&gt;
**[[Motional Emf]]&lt;br /&gt;
**[[Detecting a Magnetic Field]]&lt;br /&gt;
**[[Moving Point Charge]]&lt;br /&gt;
**[[Non-Coulomb Electric Field]]&lt;br /&gt;
**[[Motors and Generators]]&lt;br /&gt;
**[[Solenoid Applications]]&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;
===Simple Circuits===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Components]]&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[Thin and Thick Wires]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Electrical Resistance]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
**[[AC]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[Current in a RC circuit]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[LC Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&lt;br /&gt;
*[[Feedback]]&lt;br /&gt;
*[[Transformers]]&lt;br /&gt;
*[[Resistors and Conductivity]]&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 Flux Theorem]]&lt;br /&gt;
**[[Electric Fields]]&lt;br /&gt;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s 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;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Curly Electric Fields]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
***[[Transformers]]&lt;br /&gt;
***[[Energy Density]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
**[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&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;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Radiation===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Producing a Radiative Electric Field]]&lt;br /&gt;
*[[Sinusoidal Electromagnetic Radiaton]]&lt;br /&gt;
*[[Lenses]]&lt;br /&gt;
*[[Energy and Momentum Analysis in Radiation]]&lt;br /&gt;
*[[Electromagnetic Propagation]]&lt;br /&gt;
**[[Wavelength and Frequency]]&lt;br /&gt;
*[[Snell&#039;s Law]]&lt;br /&gt;
*[[Light Propagation Through a Medium]]&lt;br /&gt;
*[[Light Scaterring: Why is the Sky Blue]]&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;
===Sound===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Doppler Effect]]&lt;br /&gt;
*[[Nature, Behavior, and Properties of Sound]]&lt;br /&gt;
*[[Resonance]]&lt;br /&gt;
*[[Sound Barrier]]&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;
===Waves===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Multisource Interference: Diffraction]]&lt;br /&gt;
*[[Gravitational waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[blahb]]&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;
===Real Life Applications of Electromagnetic Principles===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Junkyard Cranes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&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;
* An overview of [[VPython]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=7035</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=7035"/>
		<updated>2015-12-02T00:08:47Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). This model, however, did not account for the predicted properties of atoms and molecules, the nature of light (waves or particles?), or the spectra of emissions emitted by atoms. Heisenberg struggled with the concept of the circular orbits of the electrons as they could not be observed, so he tried to develop his own model of quantum mechanics with what could be observed (the emissions and adsorptions of atoms). &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=7015</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=7015"/>
		<updated>2015-12-02T00:03:26Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
===Creation of Quantum Mechanics===&lt;br /&gt;
&lt;br /&gt;
Before Heisenberg, the generally accepted model of the atom was that of Niels Bohr, in which the electrons of the atom orbited the nucleus in a circular orbit (a model very similar to the planetary model of the solar system). &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6978</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6978"/>
		<updated>2015-12-01T23:48:51Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
==Contributions to Physics==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6955</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6955"/>
		<updated>2015-12-01T23:40:18Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. He died on February 1, 1976 in Munich.&lt;br /&gt;
&lt;br /&gt;
===Contributions to Physics===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6931</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6931"/>
		<updated>2015-12-01T23:26:32Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. In 1927, he became a professor of Theoretical Physics at the University of Leipzig. At the end of the Second World War, He and other German Physicists were taken prisoner by the Allied forces and forced to relocate the United Kingdom. He returned to Germany in 1946 to found the Max Planck Institute for Physics. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6909</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6909"/>
		<updated>2015-12-01T23:19:35Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. He had his primary and secondary education in Munich. He later studied Physics at the University of Munich. Later, in 1922, he went to Göttingen to study physics under Max Born, Franck, and Hilbert. He received his Ph. D at the University of Munich and became Max Born&#039;s assistant. In 1924, he worked with Niels Bohr for a year at the University of Copenhagen. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6893</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6893"/>
		<updated>2015-12-01T23:15:13Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
Werner Heisenberg was born on Decemeber 5th, 1901 in Würzburg, Germany. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6872</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6872"/>
		<updated>2015-12-01T23:09:29Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==Personal Life and Education==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6863</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6863"/>
		<updated>2015-12-01T23:05:54Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;br /&gt;
&lt;br /&gt;
Werner Karl Heisenberg was a German Theoretical Physicist who studied quantum mechanics. He is best known for his Uncertainty Principle, which describes the fundamental limit to the accuracy of which the momentum and position of a particle can be measured. He was awarded the Nobel Prize in Physics in 1932 &amp;quot;for the creation of quantum mechanics, the application of which has, inter alia, led to the discovery of the allotropic forms of hydrogen.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
State, in your own words, the main idea for this topic&lt;br /&gt;
Electric Field of Capacitor&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&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;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6845</id>
		<title>Werner Heisenberg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Werner_Heisenberg&amp;diff=6845"/>
		<updated>2015-12-01T22:58:55Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;created by John Mitchell&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=6781</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=6781"/>
		<updated>2015-12-01T22:35:31Z</updated>

		<summary type="html">&lt;p&gt;Jmitchell1589: /* Notable Scientists */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
Welcome to the Georgia Tech Wiki for Intro Physics.  This resources 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!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick a specific topic from intro physics&lt;br /&gt;
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.&lt;br /&gt;
#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 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 algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]&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;
&lt;br /&gt;
== Organizing Categories ==&lt;br /&gt;
These are the broad, overarching categories, that we cover in two semester of introductory physics.  You can add subcategories or make a new category as needed.  A single topic should direct readers to a page in one of these catagories.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
===Interactions===&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;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]  &lt;br /&gt;
*[[System &amp;amp; Surroundings]] &lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Second Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
*[[2-Dimensional 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;
===Theory===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Big Bang Theory]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Wave-Particle Duality]]&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;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Christian Doppler]]&lt;br /&gt;
*[[Albert Einstein]]&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
*[[Joseph Henry]]&lt;br /&gt;
*[[Michael Faraday]]&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
*[[James Maxwell]]&lt;br /&gt;
*[[Robert Hooke]]&lt;br /&gt;
*[[Carl Friedrich Gauss]]&lt;br /&gt;
*[[Nikola Tesla]]&lt;br /&gt;
*[[Andre Marie Ampere]]&lt;br /&gt;
*[[Sir Isaac Newton]]&lt;br /&gt;
*[[J. Robert Oppenheimer]]&lt;br /&gt;
*[[Oliver Heaviside]]&lt;br /&gt;
*[[Rosalind Franklin]]&lt;br /&gt;
*[[Erwin Schrödinger]]&lt;br /&gt;
*[[Enrico Fermi]]&lt;br /&gt;
*[[Robert J. Van de Graaff]]&lt;br /&gt;
*[[Charles de Coulomb]]&lt;br /&gt;
*[[Hans Christian Ørsted]]&lt;br /&gt;
*[[Philo Farnsworth]]&lt;br /&gt;
*[[Niels Bohr]]&lt;br /&gt;
*[[Georg Ohm]]&lt;br /&gt;
*[[Galileo Galilei]]&lt;br /&gt;
*[[Gustav Kirchhoff]]&lt;br /&gt;
*[[Max Planck]]&lt;br /&gt;
*[[Heinrich Hertz]]&lt;br /&gt;
*[[Edwin Hall]]&lt;br /&gt;
*[[James Watt]]&lt;br /&gt;
*[[Count Alessandro Volta]]&lt;br /&gt;
*[[Josiah Willard Gibbs]]&lt;br /&gt;
*[[Richard Phillips Feynman]]&lt;br /&gt;
*[[Sir David Brewster]]&lt;br /&gt;
*[[Daniel Bernoulli]]&lt;br /&gt;
*[[William Thomson]]&lt;br /&gt;
*[[Leonhard Euler]]&lt;br /&gt;
*[[Robert Fox Bacher]]&lt;br /&gt;
*[[Stephen Hawking]]&lt;br /&gt;
*[[Amedeo Avogadro]]&lt;br /&gt;
*[[Wilhelm Conrad Roentgen]]&lt;br /&gt;
*[[Pierre Laplace]]&lt;br /&gt;
*[[Thomas Edison]]&lt;br /&gt;
*[[Hendrik Lorentz]]&lt;br /&gt;
*[[Jean-Baptiste Biot]]&lt;br /&gt;
*[[Lise Meitner]]&lt;br /&gt;
*[[Lisa Randall]]&lt;br /&gt;
*[[Felix Savart]]&lt;br /&gt;
*[[Heinrich Lenz]]&lt;br /&gt;
*[[Max Born]]&lt;br /&gt;
*[[Archimedes]]&lt;br /&gt;
*[[Jean Baptiste Biot]]&lt;br /&gt;
*[[Carl Sagan]]&lt;br /&gt;
*[[Eugene Wigner]]&lt;br /&gt;
*[[Marie Curie]]&lt;br /&gt;
*[[Pierre Curie]]&lt;br /&gt;
*[[Werner Heisenberg]]&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;
===Properties of Matter===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&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;
===Contact Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Young&#039;s Modulus]]&lt;br /&gt;
* [[Friction]]&lt;br /&gt;
* [[Tension]]&lt;br /&gt;
* [[Hooke&#039;s Law]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
* [[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
* [[Speed of Sound in a Solid]]&lt;br /&gt;
* [[Iterative Prediction of Spring-Mass System]]&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;
===Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Vectors]]&lt;br /&gt;
* [[Kinematics]]&lt;br /&gt;
* [[Conservation of Momentum]]&lt;br /&gt;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
* [[Newton&#039;s Laws and Linear Momentum]]&lt;br /&gt;
* [[Net Force]]&lt;br /&gt;
* [[Center of Mass]]&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;
===Angular Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[The Moments of Inertia]]&lt;br /&gt;
* [[Moment of Inertia for a ring]]&lt;br /&gt;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
* [[Systems with Zero Torque]]&lt;br /&gt;
* [[Systems with Nonzero Torque]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting the Position of a Rotating System]]&lt;br /&gt;
* [[Translational Angular Momentum]]&lt;br /&gt;
* [[The Angular Momentum Principle]]&lt;br /&gt;
* [[Rotational Angular Momentum]]&lt;br /&gt;
* [[Total Angular Momentum]]&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;
===Energy===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
*[[Photons]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
*[[Electronic Energy Levels]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Energy Density]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&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;
===Collisions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&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;
===Fields===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Electric Field]] of a&lt;br /&gt;
** [[Point Charge]]&lt;br /&gt;
** [[Electric Dipole]]&lt;br /&gt;
** [[Capacitor]]&lt;br /&gt;
** [[Charged Rod]]&lt;br /&gt;
** [[Charged Ring]]&lt;br /&gt;
** [[Charged Disk]]&lt;br /&gt;
** [[Charged Spherical Shell]]&lt;br /&gt;
** [[Charged Cylinder]]&lt;br /&gt;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[Electric Potential]] &lt;br /&gt;
**[[Potential Difference Path Independence]]&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;
**[[Sign of Potential Difference]]&lt;br /&gt;
**[[Potential Difference in an Insulator]]&lt;br /&gt;
**[[Energy Density and Electric Field]]&lt;br /&gt;
** [[Systems of Charged Objects]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Charge Motion in Metals]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
**[[Right-Hand Rule]]&lt;br /&gt;
**[[Direction of Magnetic Field]]&lt;br /&gt;
**[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
**[[Magnetic Field of a Loop]]&lt;br /&gt;
**[[Magnetic Field of a Solenoid]]&lt;br /&gt;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Dipole Moment]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&lt;br /&gt;
**[[Biot-Savart Law for Currents]]&lt;br /&gt;
**[[Integration Techniques for Magnetic Field]]&lt;br /&gt;
**[[Sparks in Air]]&lt;br /&gt;
**[[Motional Emf]]&lt;br /&gt;
**[[Detecting a Magnetic Field]]&lt;br /&gt;
**[[Moving Point Charge]]&lt;br /&gt;
**[[Non-Coulomb Electric Field]]&lt;br /&gt;
**[[Motors and Generators]]&lt;br /&gt;
**[[Solenoid Applications]]&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;
===Simple Circuits===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Components]]&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[Thin and Thick Wires]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Electrical Resistance]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
**[[AC]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[Current in a RC circuit]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[LC Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&lt;br /&gt;
*[[Feedback]]&lt;br /&gt;
*[[Transformers]]&lt;br /&gt;
*[[Resistors and Conductivity]]&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 Flux Theorem]]&lt;br /&gt;
**[[Electric Fields]]&lt;br /&gt;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Curly Electric Fields]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
***[[Transformers]]&lt;br /&gt;
***[[Energy Density]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
**[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&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;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Radiation===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Producing a Radiative Electric Field]]&lt;br /&gt;
*[[Sinusoidal Electromagnetic Radiaton]]&lt;br /&gt;
*[[Lenses]]&lt;br /&gt;
*[[Energy and Momentum Analysis in Radiation]]&lt;br /&gt;
*[[Electromagnetic Propagation]]&lt;br /&gt;
**[[Wavelength and Frequency]]&lt;br /&gt;
*[[Snell&#039;s Law]]&lt;br /&gt;
*[[Light Propagation Through a Medium]]&lt;br /&gt;
*[[Light Scaterring: Why is the Sky Blue]]&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;
===Sound===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Doppler Effect]]&lt;br /&gt;
*[[Nature, Behavior, and Properties of Sound]]&lt;br /&gt;
*[[Resonance]]&lt;br /&gt;
*[[Sound Barrier]]&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;
===Waves===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Multisource Interference: Diffraction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[blahb]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&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;
* An overview of [[VPython]]&lt;/div&gt;</summary>
		<author><name>Jmitchell1589</name></author>
	</entry>
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