Harmonic oscillator on noncommutative spaces
classification
✦ hep-th
keywords
harmonicnoncommutativeoscillatordynamicalfoundspacessymmetriesthree-dimensional
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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.
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