Landau problem in noncommutative quantum mechanics
The Landau problem in non-commutative quantum mechanics （NCQM） is studied. First by solving the SchrSdinger 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 spa...
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| Published in | Chinese physics C Vol. 32; no. 2; pp. 92 - 95 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.02.2008
School of Physics Science and Technology,Xiujiang University,Urumqi 830046,China The Abdus Salam International Centre for Theoretical Physics,Trieste,Italy The Abdus Salam International Centre for Theoretical Physics,Trieste,Italy%Department of Physics,Hangzhou Teachers College,Hangzhou 310036,China |
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| Online Access | Get full text |
| ISSN | 1674-1137 0254-3052 2058-6132 |
| DOI | 10.1088/1674-1137/32/2/003 |
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| Abstract | The Landau problem in non-commutative quantum mechanics （NCQM） is studied. First by solving the SchrSdinger 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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| AbstractList | The Landau problem in non-commutative quantum mechanics (NCQM) is studied.First by solving the Schr(o)dinger 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 Hamfltonian as well as the corresponding eigenfunctions and eigenvalues. The Landau problem in non-commutative quantum mechanics （NCQM） is studied. First by solving the SchrSdinger 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. |
| Author | 沙依甫加马力·达吾来提 李康 |
| AuthorAffiliation | School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy Department of Physics, Hangzhou Teachers College, Hangzhou 310036, China |
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| Cites_doi | 10.1088/1126-6708/1999/06/030 10.1088/1126-6708/2002/02/017 10.1016/S0370-2693(01)00339-2 10.1016/S0550-3213(99)00685-9 10.1142/S0217732305017421 10.1103/PhysRevLett.86.2716 10.1103/PhysRevD.66.045018 10.1016/S0550-3213(99)00199-6 10.1142/S0217732302008356 10.1140/epjc/s2003-01522-8 10.1140/epjc/s10052-007-0256-0 10.1016/S0550-3213(01)00348-0 10.1103/PhysRevD.58.025002 10.1006/aphy.2002.6271 10.1016/j.physletb.2004.01.049 10.1016/S0370-2693(02)01176-0 10.1088/1126-6708/1999/09/032 10.1088/1126-6708/1998/02/008 10.1088/1126-6708/1999/02/016 10.1140/epjc/s2006-02538-2 10.1016/S0370-2693(01)00338-0 10.1140/epjc/s2003-01205-6 10.1088/1126-6708/1998/02/003 10.1063/1.1504484 10.1142/S0217732301005345 |
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| Snippet | The Landau problem in non-commutative quantum mechanics （NCQM） is studied. First by solving the SchrSdinger equations on noncommutative （NC） space we... The Landau problem in non-commutative quantum mechanics (NCQM) is studied.First by solving the Schr(o)dinger equations on noncommutative (NC) space we obtain... |
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| Title | Landau problem in noncommutative quantum mechanics |
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