Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space |
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| Authors: | WEI Gao-Feng LONG Chao-Yun LONG Zheng-Wen QIN Shui-Jie |
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| Institution: | [1]Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang 550025, China [2]Department of Physics, College of Science, Guizhou University, Guiyang 550025, China |
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| Abstract: | In this paper,the isotropic charged harmonic oscillator in uniform magnetic field is researched in the non-commutative phase space;the corresponding exact energy is obtained,and the analytic eigenfunction is presented in terms of the confluent hypergeometric function.It is shown that in the non-commutative space,the isotropic charged harmonic oscillator in uniform magnetic field has the similar behaviors to the Landau problem. |
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| Keywords: | non-commutative quantum mechanics isotropic charged harmonic oscillator exact solution |
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