Reduction of superintegrable systems: the anisotropic harmonic oscillator
Mathematical Physics
2009-05-29 v2 math.MP
Abstract
We introduce a new 2N--parametric family of maximally superintegrable systems in N dimensions, obtained as a reduction of an anisotropic harmonic oscillator in a 2N--dimensional configuration space. These systems possess closed bounded orbits and integrals of motion which are polynomial in the momenta. They generalize known examples of superintegrable models in the Euclidean plane.
Cite
@article{arxiv.0807.1047,
title = {Reduction of superintegrable systems: the anisotropic harmonic oscillator},
author = {Miguel A. Rodriguez and Piergiulio Tempesta and Pavel Winternitz},
journal= {arXiv preprint arXiv:0807.1047},
year = {2009}
}
Comments
6 pages. Version accepted in Physical Review E