New isotropic vs anisotropic phase of non-commutative 2D harmonic oscillator

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  • 29 August 2001
Abstract
We prove existence of a new representation of the 2D non-commutative harmonic oscillator in an isotropic commutative phase. We also explain the existence of a different, anisotropic, commutative phase as a result of an explicit breaking of the spherical symmetry of the non-commmutative system. The effect of non-commutativity in the new phase, induces energy levels splitting of the isotropic quantum oscillator.

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