Harmonic oscillator on noncommutative spaces

Details Harmonic oscillator on noncommutative spaces Harmonic oscillator on noncommutative spaces

2003-01-10

arxiv.org/abs/hep-th/0301066v2

Acta Phys.Slov. 55 (2005) 149-164

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Eq.(12)and the corresponding comment corrected, typos fixed

Scientific paper

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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