Noncommutative oscillator, symmetry and Landau problem

Details Noncommutative oscillator, symmetry and Landau problem Noncommutative oscillator, symmetry and Landau problem

2008-03-28

arxiv.org/abs/0803.4090v2

Eur.Phys.J.C57:835-839,2008

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures, Refs. added

Scientific paper

10.1140/epjc/s10052-008-0705-4

Isotropic oscillator on a plane is discussed where both the coordinate and momentum space are considered to be noncommutative. We also discuss the symmetry properties of the oscillator for three separate cases when both the noncommutative parameters \Theta and \bar{\Theta} satisfy specific relations. We compare the Landau problem with the isotropic oscillator on noncommutative space and obtain a relation between the two noncommutative parameters with the magnetic field of the Landau problem.

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