Superintegrability, isochronicity, and quantum harmonic behavior

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dc.creatorGravel, Simon
dc.date2003-10-03
dc.date.accessioned2026-07-07T04:30:36Z
dc.date.available2026-07-07T04:30:36Z
dc.descriptionWe 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0310004
dc.identifierhttp://arxiv.org/abs/math-ph/0310004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57521
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject37J35;81R12
dc.titleSuperintegrability, isochronicity, and quantum harmonic behavior
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