An Algebraic Operator Approach to Aharonov-Bohm Effect

Farrin Payandeh

doi:doi:10.11648/j.ajmp.20150402.12

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An Algebraic Operator Approach to Aharonov-Bohm Effect

Farrin Payandeh

Published in American Journal of Modern Physics (Volume 4, Issue 2)

Received: 31 January 2015 Accepted: 13 February 2015 Published: 26 February 2015

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Abstract

A new approach based on algebraic quantum operator, is pursued in order to investigate the Aharonov-Bohm effect. Introducing a SU(2) dynamical invariance algebra, the discrete spectrum and the energy level of the quantum Aharonov-Bohm effect is obtained. This alternative method will help undergraduate students to broader their knowledge about this interesting quantum phenomenon.

Published in	American Journal of Modern Physics (Volume 4, Issue 2)
DOI	10.11648/j.ajmp.20150402.12
Page(s)	44-49
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Quantum Physics, Schrödinger Equation, Spherical Coordinates, Hyperbolic Coordinates, Aharonov-Bohm Effect, Operator

References

[1]	S. Gasiorowicz: Quantum physics, John Wiley (1974)
[2]	Y. Aharonov, D. Bohm: Physical Review 115: 485–91 (1959)
[3]	L. Page: Physical Review 36, 444 (1930)
[4]	A. Batelaan, A. Tonomura: Physics Today 62 (9): 38-43 (2009)
[5]	E. Sjöqvist: Physical Review Letters 89 (21): 210401 (2002)
[6]	W. Ehrenberg, R.E. Siday: Proceedings of the Physical Society. Series B 62: 8–21 (1949)
[7]	F.D. Peat: Infinite Potential: The Life and Times of David Bohm, Addison-Wesley. ISBN 0-201-40635-7 (1997)
[8]	Y. Aharonov, D. Bohm: Physical Review 123: 1511–1524 (1961)
[9]	M. Peshkin, A. Tonomura: The Aharonov–Bohm effect. Springer-Verlag. ISBN 3-540-51567-4 (1989)
[10]	L. Vaidman: Physical Review A 86 (4): 040101 (2012)
[11]	R. Feynman: The Feynman Lectures on Physics 2, pp. 15–5 (1964)
[12]	V.Y. Chernyak, N.A. Sinitsyn: Journal of Chemical Physics 131(18): 181101 (2009)
[13]	H.D. Doebner, E. Papp: Physics Letters A 144, 8–9, Pages 423–426 (1990)
[14]	Gh. E. Draganascu, C. Campigotto, M. Kibler: Physics Letters A 170, 6, 339–343 (1992)
[15]	M. Kibler, C. Campigotto: Physics Letters A 181, 1, 1–6 (1993)
[16]	M. R. Brown, B. J. Hiley: arXiv:quant-ph/0005026v5
[17]	S. Sakoda, M. Omote: Advances in Imaging and Electron Physics 1, 110, 101–171 (1999)
[18]	M. Aktaş: International Journal of Theoretical Physics 48, 7, 2145–2163 (2009)
[19]	M. Aktaş: Journal of Mathematical Chemistry 49, 9, 1831–1842 (2011)
[20]	E. Jung, M-R. Hwang, C-S. Park, D. Park: Journal of Physics A: Mathematical and Theoretical 45, 5, 055301 (2012)

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Farrin Payandeh. (2015). An Algebraic Operator Approach to Aharonov-Bohm Effect. American Journal of Modern Physics, 4(2), 44-49. https://doi.org/10.11648/j.ajmp.20150402.12

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Farrin Payandeh. An Algebraic Operator Approach to Aharonov-Bohm Effect. Am. J. Mod. Phys. 2015, 4(2), 44-49. doi: 10.11648/j.ajmp.20150402.12

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Farrin Payandeh. An Algebraic Operator Approach to Aharonov-Bohm Effect. Am J Mod Phys. 2015;4(2):44-49. doi: 10.11648/j.ajmp.20150402.12

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@article{10.11648/j.ajmp.20150402.12,
  author = {Farrin Payandeh},
  title = {An Algebraic Operator Approach to Aharonov-Bohm Effect},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {2},
  pages = {44-49},
  doi = {10.11648/j.ajmp.20150402.12},
  url = {https://doi.org/10.11648/j.ajmp.20150402.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150402.12},
  abstract = {A new approach based on algebraic quantum operator, is pursued in order to investigate the Aharonov-Bohm effect. Introducing a SU(2) dynamical invariance algebra, the discrete spectrum and the energy level of the quantum Aharonov-Bohm effect is obtained. This alternative method will help undergraduate students to broader their knowledge about this interesting quantum phenomenon.},
 year = {2015}
}

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TY  - JOUR
T1  - An Algebraic Operator Approach to Aharonov-Bohm Effect
AU  - Farrin Payandeh
Y1  - 2015/02/26
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150402.12
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JF  - American Journal of Modern Physics
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PB  - Science Publishing Group
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AB  - A new approach based on algebraic quantum operator, is pursued in order to investigate the Aharonov-Bohm effect. Introducing a SU(2) dynamical invariance algebra, the discrete spectrum and the energy level of the quantum Aharonov-Bohm effect is obtained. This alternative method will help undergraduate students to broader their knowledge about this interesting quantum phenomenon.
VL  - 4
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Author Information

Farrin Payandeh

Department of Physics, Payame Noor University (PNU), P.O. BOX, 19395-3697 Tehran, Iran

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Farrin Payandeh. (2015). An Algebraic Operator Approach to Aharonov-Bohm Effect. American Journal of Modern Physics, 4(2), 44-49. https://doi.org/10.11648/j.ajmp.20150402.12

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ACS Style

Farrin Payandeh. An Algebraic Operator Approach to Aharonov-Bohm Effect. Am. J. Mod. Phys. 2015, 4(2), 44-49. doi: 10.11648/j.ajmp.20150402.12

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AMA Style

Farrin Payandeh. An Algebraic Operator Approach to Aharonov-Bohm Effect. Am J Mod Phys. 2015;4(2):44-49. doi: 10.11648/j.ajmp.20150402.12

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@article{10.11648/j.ajmp.20150402.12,
  author = {Farrin Payandeh},
  title = {An Algebraic Operator Approach to Aharonov-Bohm Effect},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {2},
  pages = {44-49},
  doi = {10.11648/j.ajmp.20150402.12},
  url = {https://doi.org/10.11648/j.ajmp.20150402.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150402.12},
  abstract = {A new approach based on algebraic quantum operator, is pursued in order to investigate the Aharonov-Bohm effect. Introducing a SU(2) dynamical invariance algebra, the discrete spectrum and the energy level of the quantum Aharonov-Bohm effect is obtained. This alternative method will help undergraduate students to broader their knowledge about this interesting quantum phenomenon.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - An Algebraic Operator Approach to Aharonov-Bohm Effect
AU  - Farrin Payandeh
Y1  - 2015/02/26
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150402.12
DO  - 10.11648/j.ajmp.20150402.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 44
EP  - 49
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150402.12
AB  - A new approach based on algebraic quantum operator, is pursued in order to investigate the Aharonov-Bohm effect. Introducing a SU(2) dynamical invariance algebra, the discrete spectrum and the energy level of the quantum Aharonov-Bohm effect is obtained. This alternative method will help undergraduate students to broader their knowledge about this interesting quantum phenomenon.
VL  - 4
IS  - 2
ER  -

Copy | Download