Wave-Particle Duality - Revision history

Aroy327: /* Connectedness */

2022-04-25T02:52:57Z

Connectedness

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	I'm a computer science major, so the adjacent subject would be Quantum Computing, where Wave-Particle Duality and other quantum mechanical		I'm a computer science major, so the adjacent subject would be Quantum Computing, where Wave-Particle Duality and other quantum mechanical properties are used to solve problems Classical computers can't address as easily. Beyond also developing simulators like the one I coded in the Computational Model section, there isn't too much of an overlap.

Aroy327: /* Further Reading */

2022-04-25T02:51:10Z

Aroy327: /* History */

2022-04-25T02:46:13Z

History

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	Throughout the 1800s, scientists, such as [https://en.wikipedia.org/wiki/John_Dalton John Dalton] and [https://en.wikipedia.org/wiki/Ernest_Rutherford Ernest Rutherford] theorized and discovered elementary particles. As discussed in the first section, the photoelectric effect and the double-slit experiment discovered the contradiction in definitely describing physically objects as particles or waves. Newton's classical mechanics had no way of explaining phenomenon like this, and quantum mechanics was developed to study physics on the minute stage. The early 20th century included scientists like [https://en.wikipedia.org/wiki/Richard_Feynman Richard Feynman] and [https://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger Erwin_Schr%C3%B6dinger], who advanced the field. ~~[[[~~Werner Heisenberg~~]]]~~ later developed his uncertainty principle, which established many of the relationships we explored in the problem section of this page. More recently, scientists ~~are working~~ on applying [https://en.wikipedia.org/wiki/Quantum_computing quantum effects to computing].		Throughout the 1800s, scientists, such as [https://en.wikipedia.org/wiki/John_Dalton John Dalton] and [https://en.wikipedia.org/wiki/Ernest_Rutherford Ernest Rutherford] theorized and discovered elementary particles. As discussed in the first section, the photoelectric effect and the double-slit experiment discovered the contradiction in definitely describing physically objects as particles or waves. Newton's classical mechanics had no way of explaining phenomenon like this, and quantum mechanics was developed to study physics on the minute stage. The early 20th century included scientists like [https://en.wikipedia.org/wiki/Richard_Feynman Richard Feynman] and [https://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger Erwin_Schr%C3%B6dinger], who advanced the field. Werner Heisenberg later developed his uncertainty principle, which established many of the relationships we explored in the problem section of this page. More recently, scientists have worked on applying [https://en.wikipedia.org/wiki/Quantum_computing quantum effects to computing].

	== See also ==		== See also ==

Aroy327: /* History */

2022-04-25T02:45:27Z

History

← Older revision		Revision as of 22:45, 24 April 2022
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	Throughout the 1800s, scientists, such as [https://en.wikipedia.org/wiki/John_Dalton John Dalton] and [https://en.wikipedia.org/wiki/Ernest_Rutherford Ernest Rutherford] theorized and discovered elementary particles. As discussed in the first section, the photoelectric effect and the double-slit experiment discovered the contradiction in definitely describing physically objects as particles or waves. Newton's classical mechanics had no way of explaining phenomenon like this, and quantum mechanics was developed to study physics on the minute stage. The early 20th century included scientists like [https://en.wikipedia.org/wiki/Richard_Feynman Richard Feynman] and [https://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger Erwin_Schr%C3%B6dinger], who advanced the field. [[Werner Heisenberg		Throughout the 1800s, scientists, such as [https://en.wikipedia.org/wiki/John_Dalton John Dalton] and [https://en.wikipedia.org/wiki/Ernest_Rutherford Ernest Rutherford] theorized and discovered elementary particles. As discussed in the first section, the photoelectric effect and the double-slit experiment discovered the contradiction in definitely describing physically objects as particles or waves. Newton's classical mechanics had no way of explaining phenomenon like this, and quantum mechanics was developed to study physics on the minute stage. The early 20th century included scientists like [https://en.wikipedia.org/wiki/Richard_Feynman Richard Feynman] and [https://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger Erwin_Schr%C3%B6dinger], who advanced the field. [[[Werner Heisenberg]]] later developed his uncertainty principle, which established many of the relationships we explored in the problem section of this page. More recently, scientists are working on applying [https://en.wikipedia.org/wiki/Quantum_computing quantum effects to computing].
	]] later developed his uncertainty principle, which established many of the relationships we explored in the problem section of this page. More recently, scientists are working on applying [https://en.wikipedia.org/wiki/Quantum_computing quantum effects to computing].

	== See also ==		== See also ==

Aroy327: /* History */

2022-04-25T02:45:05Z

History

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	Throughout the 1800s, scientists ~~one by one~~, such as [https://en.wikipedia.org/wiki/John_Dalton John Dalton] and [https://en.wikipedia.org/wiki/Ernest_Rutherford Ernest Rutherford] theorized and discovered elementary particles. ~~Those discoveries~~ in and ~~of themselves were groundbreaking, but of course, scientists pursued these further. It was then that a~~ contradiction ~~arose~~ in ~~two experiments,~~ as ~~mentioned in the above sections, and things went haywire~~. Newton's classical mechanics had no way of explaining phenomenon like this, ~~so a new field of~~ quantum mechanics was ~~born~~ to study physics ~~of particles~~ on minute ~~scales~~. The ~~1900s~~ included scientists like [https://en.wikipedia.org/wiki/Richard_Feynman Richard Feynman] and [https://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger Erwin_Schr%C3%B6dinger] (the ~~scientist~~ the ~~above differential equation was named after) that made leaps~~ in QM. ~~Currently~~, scientists are working on applying [https://en.wikipedia.org/wiki/Quantum_computing quantum effects to computing].		Throughout the 1800s, scientists, such as [https://en.wikipedia.org/wiki/John_Dalton John Dalton] and [https://en.wikipedia.org/wiki/Ernest_Rutherford Ernest Rutherford] theorized and discovered elementary particles. As discussed in the first section, the photoelectric effect and the double-slit experiment discovered the contradiction in definitely describing physically objects as particles or waves. Newton's classical mechanics had no way of explaining phenomenon like this, and quantum mechanics was developed to study physics on the minute stage. The early 20th century included scientists like [https://en.wikipedia.org/wiki/Richard_Feynman Richard Feynman] and [https://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger Erwin_Schr%C3%B6dinger], who advanced the field. [[Werner Heisenberg
			]] later developed his uncertainty principle, which established many of the relationships we explored in the problem section of this page. More recently, scientists are working on applying [https://en.wikipedia.org/wiki/Quantum_computing quantum effects to computing].

	== See also ==		== See also ==

Aroy327: /* Connectedness */

2022-04-25T02:27:29Z

Connectedness

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	~~Extensive, high level research in biology, my~~ major, ~~has shown that during photosynthesis, plants benefit from~~ the ~~quantum properties of the light coming from the sun~~, and are able to use it to transport energy more efficiently. This groundbreaking discovery could be the key to discovering extremely effective cures for diseases that currently are uncurable or are very costly to treat.		I'm a computer science major, so the adjacent subject would be Quantum Computing, where Wave-Particle Duality and other quantum mechanical

Aroy327: /* Connectedness */

2022-04-25T02:23:08Z

Connectedness

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	Wave-Particle duality as a concept was the way that I first got introduced to quantum weirdness, and higher level physics. I'm personally interested in quantum computing, and a major issue in the current development of multi-qubit systems is decoherence.		Wave-Particle duality as a concept was the way that I first got introduced to quantum weirdness, and higher level physics. I'm personally interested in quantum computing, and a major issue in the current development of multi-qubit systems is decoherence. The Wave-Particle duality is central to measurement in quantum mechanics, because when the particle is located, the particle is forced to be in a more localized state due to [[Heisenberg Uncertainty Principle]].

Aroy327: /* Connectedness */

2022-04-25T02:20:00Z

Connectedness

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	~~For~~ a ~~while~~ I ~~had been~~ interested in ~~the strange nature of~~ quantum ~~mechanics. The pure fact that particles could act as waves was simply alluring. In the future it would be great if~~, ~~even as~~ a ~~biology~~ major~~, work~~ in ~~a field that had some aspect~~ of ~~quantum research associated~~.		Wave-Particle duality as a concept was the way that I first got introduced to quantum weirdness, and higher level physics. I'm personally interested in quantum computing, and a major issue in the current development of multi-qubit systems is decoherence.

Aroy327: /* Ex. 3: Two-slit experiment problem */

2022-04-25T02:07:21Z

Ex. 3: Two-slit experiment problem

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	From trigonometry, we know <math>tan(\theta)=h/l, y_1=h, tan(\theta)=y_1/l</math>, which yields <math>y_1=l*tan(\theta)</math>		From trigonometry, we know <math>tan(\theta)=h/l, y_1=h, tan(\theta)=y_1/l</math>, which yields <math>y_1=l*tan(\theta)</math>

	Substituting <math>l=2</math> and the respective <math>\theta</math> values, we get		Substituting <math>l=2</math> meters and the respective <math>\theta</math> values, we get

	<math>y_1=0.0026 m, y_2=0.0052 m</math>, yielding a difference between the fringes of 0.0026 meters.		<math>y_1=0.0026 m, y_2=0.0052 m</math>, yielding a difference between the fringes of 0.0026 meters.

Aroy327: /* Ex. 3: Two-slit experiment problem */

2022-04-25T02:06:45Z

Ex. 3: Two-slit experiment problem

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	For this problem, you'll need to utilize Young's Double Slit Formula, which states <math>m\lambda=dsin(\theta)</math>		For this problem, you'll need to utilize Young's Double Slit Formula, which states <math>m\lambda=dsin(\theta)</math>

	<math>d=5.0e-4, \lambda=650e-9</math>		<math>d=5.0e-4 m, \lambda=650e-9 m</math>

	From the formula, <math>sin(\theta)=m\lambda/d</math> -> <math>\theta=sin^{-1}(m\lambda/d)</math>		From the formula, <math>sin(\theta)=m\lambda/d</math> -> <math>\theta=sin^{-1}(m\lambda/d)</math>
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	To isolate the two degree values for the first and second fringes, input the above values to find		To isolate the two degree values for the first and second fringes, input the above values to find

	<math>m=1 \theta_1=0.0744845^{\circ}, m=2. \theta_2=0.1489691^{\circ}</math>		<math>m=1, \theta_1=0.0744845^{\circ}, m=2,
			\theta_2=0.1489691^{\circ}</math>

	From trigonometry, we know <math>tan(\theta)=h/l, y_1=h, tan(\theta)=y_1/l</math>, which yields <math>y_1=l*tan(\theta)</math>		From trigonometry, we know <math>tan(\theta)=h/l, y_1=h, tan(\theta)=y_1/l</math>, which yields <math>y_1=l*tan(\theta)</math>

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	=== Further Reading ===		=== Further Reading ===


			The Evolution of Physics: The Growth of Ideas from Early Concepts to Relativity and Quanta, by Albert Einstein and Leopold Infeld

			Chapter 4, Introduction to Modern Physics Textbook, by Kenneth S. Krane

			R. Nave. "Wave–Particle Duality" (Web page). HyperPhysics. Georgia State University, Department of Physics and Astronomy: http://hyperphysics.phy-astr.gsu.edu/hbase/mod1.html

	=== External Links ===		=== External Links ===