Hamiltonians separable in cartesian coordinates and third-order integrals of motion

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dc.creatorGravel, Simon
dc.date2003-02-11
dc.date2003-10-23
dc.date.accessioned2026-07-07T06:18:38Z
dc.date.available2026-07-07T06:18:38Z
dc.descriptionWe present in this article all Hamiltonian systems in E(2) that are separable in cartesian coordinates and that admit a third-order integral, both in quantum and in classical mechanics. Many of these superintegrable systems are new, and it is seen that there exists a relation between quantum superintegrable potentials, invariant solutions of the Korteweg-De Vries equation and the Painlevé transcendents.
dc.description19 pages, Will be published in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0302028
dc.identifierhttp://arxiv.org/abs/math-ph/0302028
dc.identifierJournal of Mathematical Physics -- March 2004 -- Volume 45, Issue 3, pp. 1003-1019
dc.identifierdoi:10.1063/1.1633352
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94804
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleHamiltonians separable in cartesian coordinates and third-order integrals of motion
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