Isotropic representation of noncommutative 2D harmonic oscillator

Details Isotropic representation of noncommutative 2D harmonic oscillator Isotropic representation of noncommutative 2D harmonic oscillator

2001-08-29

arxiv.org/abs/hep-th/0108216v2

Phys.Rev. D65 (2002) 107701

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, RevTex4, no figures; article format, improved version of the previous paper; new references and aknowledgements adde

Scientific paper

10.1103/PhysRevD.65.107701

We show that 2D noncommutative harmonic oscillator has an isotropic representation in terms of commutative coordinates. The noncommutativity in the new mode, induces energy level splitting, and is equivalent to an external magnetic field effect. The equivalence of the spectra of the isotropic and anisotropic representation is traced back to the existence of SU(2) invariance of the noncommutative model.

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