Harmonic oscillator on noncommutative spaces
High Energy Physics - Theory
2007-05-23 v2
Abstract
A generalized harmonic oscillator on noncommutative spaces is considered. Dynamical symmetries and physical equivalence of noncommutative systems with the same energy spectrum are investigated and discussed. General solutions of three-dimensional noncommutative harmonic oscillator are found and classified according to dynamical symmetries. We have found conditions under which three-dimensional noncommutative harmonic oscillator can be represented by ordinary, isotropic harmonic oscillator in effective magnetic field.
Cite
@article{arxiv.hep-th/0301066,
title = {Harmonic oscillator on noncommutative spaces},
author = {I. Dadic and L. Jonke and S. Meljanac},
journal= {arXiv preprint arXiv:hep-th/0301066},
year = {2007}
}
Comments
12 pages, Eq.(12)and the corresponding comment corrected, typos fixed