Landau Problem in Noncommutative Quantum Mechanics
Mathematical Physics
2011-08-31 v1 High Energy Physics - Theory
math.MP
Abstract
The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrdinger 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.
Cite
@article{arxiv.0802.1118,
title = {Landau Problem in Noncommutative Quantum Mechanics},
author = {Sayipjamal Dulat and Kang Li},
journal= {arXiv preprint arXiv:0802.1118},
year = {2011}
}
Comments
8 pages