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This article is cited in 3 scientific papers (total in 3 papers)
Wigner functions for the Landau problem in noncommutative quantum mechanics
S. Dulata, Kang Lib, Jianhua Wangc a School of Physics Science and Technology,
Xinjiang University, Urumqi, China
b Department of Physics, Hangzhou Normal University, Hangzhou,
China
c Department of Physics, Shaanxi University of Technology,
Hanzhong, China
Abstract:
We study the Wigner function in noncommutative quantum mechanics. By solving the time-independent Schrödinger equation on both a noncommutative space and a noncommutative phase space, we obtain the Wigner function for the Landau problem on those spaces.
Keywords:
Wigner function, noncommutative quantum mechanics, Landau problem
DOI:
https://doi.org/10.4213/tmf6638
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English version:
Theoretical and Mathematical Physics, 2011, 167:2, 628–635
Bibliographic databases:
Received: 26.08.2010 Revised: 27.10.2010
Citation:
S. Dulat, Kang Li, Jianhua Wang, “Wigner functions for the Landau problem in noncommutative quantum mechanics”, TMF, 167:2 (2011), 264–272; Theoret. and Math. Phys., 167:2 (2011), 628–635
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/tmf6638https://doi.org/10.4213/tmf6638 http://mi.mathnet.ru/eng/tmf/v167/i2/p264
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This publication is cited in the following articles:
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Nizamidin H., Yakup R., Dulat S., Hekim M., “The Wigner Functions For Neutral Particles in An External Electromagnetic Field in Noncommutative Quantum Mechanics”, Int. J. Theor. Phys., 54:2 (2015), 561–571
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Mamat J., Dulat S., Mamatabdulla H., “Landau-like Atomic Problem on a Non-commutative Phase Space”, Int. J. Theor. Phys., 55:6 (2016), 2913–2918
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Hekim M., Anwar A., Wang J., “Quantum Phase for an Electric Multipole Moment in Noncommutative Quantum Mechanics”, Int. J. Theor. Phys., 55:7 (2016), 3226–3233
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