Superintegrable Systems in Darboux spaces

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dc.creatorKalnins, E. G.
dc.creatorKress, J. M.
dc.creatorMiller Jr, W.
dc.creatorWinternitz, P.
dc.date2003-07-18
dc.date.accessioned2026-07-07T04:30:23Z
dc.date.available2026-07-07T04:30:23Z
dc.descriptionAlmost all research on superintegrable potentials concerns spaces of constant curvature. In this paper we find by exhaustive calculation, all superintegrable potentials in the four Darboux spaces of revolution that have at least two integrals of motion quadratic in the momenta, in addition to the Hamiltonian. These are two-dimensional spaces of nonconstant curvature. It turns out that all of these potentials are equivalent to superintegrable potentials in complex Euclidean 2-space or on the complex 2-sphere, via "coupling constant metamorphosis" (or equivalently, via Staeckel multiplier transformations). We present tables of the results.
dc.identifierhttps://arxiv.org/abs/math-ph/0307039
dc.identifierhttp://arxiv.org/abs/math-ph/0307039
dc.identifierJ. Math. Phys. 44 (2003) 5811-5848
dc.identifierdoi:10.1063/1.1619580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57448
dc.subjectMathematical Physics
dc.subject37K05 70H20
dc.titleSuperintegrable Systems in Darboux spaces
dc.typetext

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