Miguel A. Rodriguez, Piergiulio Tempesta, Pavel Winternitz
Published 2008-07-07, updated 2008-09-25Version 2
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.
Comments: 6 pages. Version accepted in Physical Review E
Journal: Phys.Rev.E78:046608,2008
The Geometry of Integrable and Superintegrable Systems
Factorization approach to superintegrable systems: Formalism and applications
Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity
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