Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space

WEI Gao-Feng; LONG Chao-Yun; LONG Zheng-Wen; QIN Shui-Jie

doi:10.1088/1674-1137/32/4/001

Chinese Physics C> 2008, Vol. 32> Issue(4) : 247-250 DOI: 10.1088/1674-1137/32/4/001

Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space

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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.

References

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WEI Gao-Feng, LONG Chao-Yun, LONG Zheng-Wen and QIN Shui-Jie. Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space[J]. Chinese Physics C, 2008, 32(4): 247-250. doi: 10.1088/1674-1137/32/4/001

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Received: 2007-06-19
Revised: 2007-09-10

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space

Corresponding author: WEI Gao-Feng,

Received Date: 2007-06-19

Accepted Date: 2007-09-10

Available Online: 2008-04-05

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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Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space

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