# Noncommutative oscillator, symmetry and Landau problem

Research paper by Pulak Ranjan Giri, P. Roy

Indexed on: 07 Apr '08Published on: 07 Apr '08Published in: High Energy Physics - Theory

#### 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.