Classical Trajectories for two Ring-Shaped Potentials

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dc.creatorKibler, M.
dc.creatorLamot, G. -H.
dc.creatorWinternitz, P.
dc.date1998-10-03
dc.date.accessioned2026-07-07T06:15:42Z
dc.date.available2026-07-07T06:15:42Z
dc.descriptionThis paper deals with the classical trajectories for two super-integrable systems: a system known in quantum chemistry as the Hartmann system and a system of potential use in quantum chemistry and nuclear physics. Both systems correspond to ring-shaped potentials. They admit two maximally super-integrable systems as limiting cases, viz, the isotropic harmonic oscillator system and the Coulomb-Kepler system in three dimensions. The planarity of the trajectories is studied in a systematic way. In general, the trajectories are quasi-periodic rather than periodic. A constraint condition allows to pass from quasi-periodic motions to periodic ones. When written in a quantum mechanical context, this constraint condition leads to new accidental degeneracies for the two systems studied.
dc.description28 pages, Tex file
dc.identifierhttps://arxiv.org/abs/quant-ph/9810006
dc.identifierhttp://arxiv.org/abs/quant-ph/9810006
dc.identifierInt.J.Quant.Chem. 43 (1992) 625-645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93836
dc.subjectQuantum Physics
dc.subjectChemical Physics
dc.subjectClassical Physics
dc.titleClassical Trajectories for two Ring-Shaped Potentials
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