Year: 2004
Type: article
Abstract: The energy spectrum of an isotropic harmonic oscillator as a function of the noncommutativity parameter $\ensuremath{\Theta}$ is studied. It is shown that for a dense set of values of $\ensuremath{\Theta}$ the spectrum is degenerated and the algebra responsible for degeneracy can always be chosen to be SU(2). The generators of the algebra are constructed explicitly.
Authors: Agnieszka Kijanka, Piotr Kosiński
Institution: University of Łódź
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2130540952