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Landau problem in noncommutative quantum mechanics*

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2008 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences
, , Citation Sayipjamal Dulat and Li Kang 2008 Chinese Phys. C 32 92 DOI 10.1088/1674-1137/32/2/003

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Author affiliations

1 School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China

2 Department of Physics, Hangzhou Teachers College, Hangzhou 310036, China

3 The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

Dates

  1. Received 21 March 2007
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1674-1137/32/2/92

Abstract

The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrödinger equations on noncommutative (NC) space we obtain the Landau energy levels and the energy correction that is caused by space-space noncommutativity. Then we discuss the noncommutative phase space case, namely, space-space and momentum-momentum non-commutative case, and we get the explicit expression of the Hamiltonian as well as the corresponding eigenfunctions and eigenvalues.

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Footnotes

  • * 

    Supported by National Natural Science Foundation of China (10465004, 10665001, 10575026) and Abdus Salam ICTP, Trieste, Italy

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10.1088/1674-1137/32/2/003