Landau problem in noncommutative quantum mechanics

Sayipjamal Dulat; LI Kang

doi:10.1088/1674-1137/32/2/003

Chinese Physics C> 2008, Vol. 32> Issue(2) : 92-95 DOI: 10.1088/1674-1137/32/2/003

Landau problem in noncommutative quantum mechanics

Sayipjamal Dulat ^, ,
LI Kang ^, ,

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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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[1]

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Landau problem in noncommutative quantum mechanics

Corresponding author: Sayipjamal Dulat,

Corresponding author: LI Kang,

Received Date: 2007-03-21

Accepted Date: 2007-07-24

Available Online: 2008-02-05

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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