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More on Superintegrable Models on Spaces of Constant Curvature

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cris.lastimport.scopus2024-02-12T20:10:37Z
dc.abstract.enA known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of these potentials correspond either to an isotropic harmonic oscillator or a generalized Kepler potential. The angular components, on the contrary, are given implicitly by a generally transcendental equation. In the present note, devoted to the previously less studied models with the radial potential of the generalized Kepler type, a new two-parameter family of relevant angular potentials is constructed in terms of elementary functions. For an appropriate choice of parameters, the family reduces to an asymmetric spherical Higgs oscillator.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorGonera, Joanna
dc.contributor.authorGonera, Cezary
dc.contributor.authorZawora, Bartosz
dc.contributor.authorSzczesek, Wioletta
dc.contributor.authorAraujo, Javier De Lucas
dc.date.accessioned2024-01-25T12:55:17Z
dc.date.available2024-01-25T12:55:17Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.description.number5
dc.description.volume27
dc.identifier.doi10.1134/S1560354722050045
dc.identifier.issn1560-3547
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/112952
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1134/S1560354722050045.pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofRegular and Chaotic Dynamics
dc.relation.pages561-571
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enintegrable systems
dc.subject.ensuperintegrable systems
dc.subject.encurvature
dc.subject.ensphere
dc.subject.enhyperbolic plane
dc.subject.enEuclidean plane
dc.subject.enaction-angle variables
dc.subject.plukłady całkowalne
dc.subject.plukłady supercałkowalne
dc.subject.plkrzywizna
dc.subject.plsfera
dc.subject.plpłaszczyzna hiperboliczna
dc.subject.plpłaszczyzna euklidesowa
dc.subject.plzmienne kąt-działanie
dc.titleMore on Superintegrable Models on Spaces of Constant Curvature
dc.typeJournalArticle
dspace.entity.typePublication