Representations of SU(1,1) in non-commutative space generated by the Heisenberg algebra

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dc.contributor.authorAhmedov, H
dc.contributor.authorDuru, IH
dc.date.accessioned2024-06-12T11:18:58Z
dc.date.available2024-06-12T11:18:58Z
dc.date.issued2001
dc.departmentTrakya Üniversitesien_US
dc.description.abstractSU(1, 1) is considered as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the irreducible representations of the group are realized is explicitly constructed. From group theoretical considerations summation formulae for the product of two, three and four hypergeometric functions are derived.en_US
dc.identifier.doi10.1088/0305-4470/34/2/302
dc.identifier.endpage234en_US
dc.identifier.issn0305-4470
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-0035910682en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage227en_US
dc.identifier.urihttps://doi.org/10.1088/0305-4470/34/2/302
dc.identifier.urihttps://hdl.handle.net/20.500.14551/25031
dc.identifier.volume34en_US
dc.identifier.wosWOS:000166655200002en_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 Generalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGreen-Functionen_US
dc.subjectQuantumen_US
dc.subjectPlaneen_US
dc.titleRepresentations of SU(1,1) in non-commutative space generated by the Heisenberg algebraen_US
dc.typeArticleen_US

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