Superintegrability, isochronicity, and quantum harmonic behavior

Details Superintegrability, isochronicity, and quantum harmonic behavior Superintegrability, isochronicity, and quantum harmonic behavior

2003-10-03

arxiv.org/abs/math-ph/0310004v1

Physics

Mathematical Physics

4 pages

Scientific paper

We discuss the properties of superintegrable Hamiltonian systems, in particular those that admit separation of variables in cartesian coordinates. We show that the superintegrability of such potentials is equivalent to the isochronicity of the separated potentials. We use this fact to get a new insight into an old question about the relation between quantum and classical harmonic behavior.

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