On noncommutative isotropic harmonic oscillator

Details On noncommutative isotropic harmonic oscillator On noncommutative isotropic harmonic oscillator

2004-07-28

arxiv.org/abs/hep-th/0407246v1

Phys.Rev. D70 (2004) 127702

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures

Scientific paper

10.1103/PhysRevD.70.127702

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.

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