Harmonic oscillator on noncommutative spaces
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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.
12 pages, Eq.(12)and the corresponding comment corrected, typos fixed
12 pages, Eq.(12)and the corresponding comment corrected, typos fixed