Landau problem in noncommutative quantum mechanics

  • The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrodinger 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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Sayipjamal Dulat, LI Kang and Landau problem in noncommutative quantum mechanics[J]. Chinese Physics C, 2008, 32(2): 92-95. doi: 10.1088/1674-1137/32/2/003
Sayipjamal Dulat, LI Kang and Landau problem in noncommutative quantum mechanics[J]. Chinese Physics C, 2008, 32(2): 92-95.  doi: 10.1088/1674-1137/32/2/003 shu
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Received: 2007-03-21
Revised: 2007-07-24
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Landau problem in noncommutative quantum mechanics

    Corresponding author: Sayipjamal Dulat,
    Corresponding author: LI Kang,

Abstract: The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrodinger 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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