English

On noncommutative isotropic harmonic oscillator

High Energy Physics - Theory 2009-11-10 v1

Abstract

Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied. It is shown that for a dense set of values of theta the spectrum is degenerated and the algebra responsible for degeneracy can be always chosen to be sU(2). The generators of the algebra are constructed explicitely.

Keywords

Cite

@article{arxiv.hep-th/0407246,
  title  = {On noncommutative isotropic harmonic oscillator},
  author = {Agnieszka Kijanka and Piotr Kosinski},
  journal= {arXiv preprint arXiv:hep-th/0407246},
  year   = {2009}
}

Comments

8 pages, no figures