Lie-algebraic description of the quantum superintegrable Smorodinsky-Winternitz system in n dimensions

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dc.contributor.authorKerimov, G. A.
dc.date.accessioned2024-06-12T11:18:41Z
dc.date.available2024-06-12T11:18:41Z
dc.date.issued2012
dc.departmentTrakya Üniversitesien_US
dc.description.abstractWe apply the potential group method to a family of n-dimensional quantum Smorodinsky-Winternitz systems. The Hamiltonians of the systems are associated with first-order Casimir operators of the unitary group U(3n) restricted to certain subspaces of carrier space of the symmetric representation. Hence, the group U(3n) describes fixed energy states of a family of Smorodinsky-Winternitz systems with different potential strength. Moreover, it is shown that 2n - 1 integrals of motions (including the Hamiltonian) are related to Casimir operators of U(3n) and its subgroups.en_US
dc.identifier.doi10.1088/1751-8113/45/18/185201
dc.identifier.issn1751-8113
dc.identifier.issn1751-8121
dc.identifier.issue18en_US
dc.identifier.scopus2-s2.0-84860320279en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1088/1751-8113/45/18/185201
dc.identifier.urihttps://hdl.handle.net/20.500.14551/24923
dc.identifier.volume45en_US
dc.identifier.wosWOS:000303612100007en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIop Publishing Ltden_US
dc.relation.ispartofJournal Of Physics A-Mathematical And Theoreticalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDeformationsen_US
dc.subjectOscillatoren_US
dc.subjectScatteringen_US
dc.titleLie-algebraic description of the quantum superintegrable Smorodinsky-Winternitz system in n dimensionsen_US
dc.typeArticleen_US

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