Noncommutative 3D harmonic oscillator

Details Noncommutative 3D harmonic oscillator Noncommutative 3D harmonic oscillator

2002-05-23

arxiv.org/abs/hep-th/0205242v1

J.Phys. A35 (2002) L363-L368

Physics

High Energy Physics

High Energy Physics - Theory

7pages, LateX 2e, no figures; in print on J.Phys.A

Scientific paper

10.1088/0305-4470/35/26/103

We find transformation matrices allowing to express non-commutative three dimensional harmonic oscillator in terms of an isotropic commutative oscillator, following ``philosophy of simplicity'' approach. Non-commutative parameters have physical interpretation in terms of an external magnetic field. Furthermore, we show that for a particular choice of noncommutative parameters there is an equivalent anisotropic representation, whose transformation matrices are far more complicated. We indicate a way to obtain the more complex solutions from the simple ones.

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