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arXiv · hep-th/0205242

Noncommutative 3D harmonic oscillator

A. Smailagic·E. Spallucci
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Abstract

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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A. Smailagic, E. Spallucci. 2002-05-23. Noncommutative 3D harmonic oscillator. https://doi.org/10.1088/0305-4470%2F35%2F26%2F103

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