Landau problem in noncommutative quantum mechanics

• Published in: Chinese physics C Vol. 32; no. 2; pp. 92 - 95
• Main Author: 沙依甫加马力·达吾来提 李康
• 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
• Subjects: 兰道问题; 拓扑空间; 量子力学; 非交换; quantum mechanic; noncommutative
• ISSN: 1674-1137; 0254-3052; 2058-6132
• DOI: 10.1088/1674-1137/32/2/003

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.