Landau Problem in Noncommutative Quantum Mechanics

Details Landau Problem in Noncommutative Quantum Mechanics Landau Problem in Noncommutative Quantum Mechanics

2008-02-08

arxiv.org/abs/0802.1118v1

Chin.Phys.C32:92-95,2008

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/1674-1137/32/2/003

The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schr$\ddot{o}$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 Hamiltonian as well as the corresponding eigenfunctions and eigenvalues.

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