Noncommutative 3D harmonic oscillator
High Energy Physics - Theory
2009-11-07 v1
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.
Cite
@article{arxiv.hep-th/0205242,
title = {Noncommutative 3D harmonic oscillator},
author = {A. Smailagic and E. Spallucci},
journal= {arXiv preprint arXiv:hep-th/0205242},
year = {2009}
}
Comments
7pages, LateX 2e, no figures; in print on J.Phys.A