Reduction of superintegrable systems: the anisotropic harmonic oscillator

Details Reduction of superintegrable systems: the anisotropic harmonic oscillator Reduction of superintegrable systems: the anisotropic harmonic oscillator

2008-07-07

arxiv.org/abs/0807.1047v2

Phys.Rev.E78:046608,2008

Physics

Mathematical Physics

6 pages. Version accepted in Physical Review E

Scientific paper

10.1103/PhysRevE.78.046608

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.

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