Noncommutative oscillator, symmetry and Landau problem
High Energy Physics - Theory
2008-12-18 v2
Abstract
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.
Cite
@article{arxiv.0803.4090,
title = {Noncommutative oscillator, symmetry and Landau problem},
author = {Pulak Ranjan Giri and P. Roy},
journal= {arXiv preprint arXiv:0803.4090},
year = {2008}
}
Comments
4 pages, 2 figures, Refs. added