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arXiv · hep-th/0301066

Harmonic oscillator on noncommutative spaces

I. Dadic·L. Jonke·S. Meljanac
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Abstract

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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I. Dadic, L. Jonke, S. Meljanac. 2003-01-21. Harmonic oscillator on noncommutative spaces. https://arxiv.org/abs/hep-th/0301066

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