Landau problem in noncommutative quantum mechanics  

作　　者：沙依甫加马力.达吾来提 李康 

机构地区：[1]School of Physics Science and Technology Xinjiang University,Urumqi 830046,China [2]Department of Physics Hangzhou Teachers College,Hangzhou 310036,China

出　　处：《Chinese Physics C》2008年第2期92-95,共4页中国物理C（英文版）

基　　金：Supported by National Natural Science Foundation of China (10465004,10665001,10575026);Abdus Salam ICTP,Trieste,Italy

摘　　要：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.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.

关 键 词：quantum mechanic NONCOMMUTATIVE 

分 类 号：O413.1[理学—理论物理]