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Noncommutative isotropic harmonic oscillator
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 …