A maximally superintegrable system on an n-dimensional space of nonconstant curvature

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dc.creatorBallesteros, Angel
dc.creatorEnciso, Alberto
dc.creatorHerranz, Francisco J.
dc.creatorRagnisco, Orlando
dc.date2006-12-26
dc.date.accessioned2026-07-07T11:23:46Z
dc.date.available2026-07-07T11:23:46Z
dc.descriptionA novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an n-dimensional Riemannian space of nonconstant curvature, and it can be interpreted as the intrinsic Smorodinsky-Winternitz system on such a space. Moreover, we provide three different complete sets of integrals in involution and solve the equations of motion in closed form.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0612080
dc.identifierhttp://arxiv.org/abs/math-ph/0612080
dc.identifierPhysicaD237:505-509,2008
dc.identifierdoi:10.1016/j.physd.2007.09.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195007
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject37J35; 70H06; 16W30
dc.titleA maximally superintegrable system on an n-dimensional space of nonconstant curvature
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