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dc.contributor.authorKalnins, Ernie G.en_NZ
dc.contributor.authorMiller, W., Jr.en_NZ
dc.contributor.authorPost, Sarahen_NZ
dc.date.accessioned2016-04-28T03:04:02Z
dc.date.available2010-02-01en_NZ
dc.date.available2016-04-28T03:04:02Z
dc.date.issued2010-02-01en_NZ
dc.identifier.citationKalnins, E. G., Miller, W., Jr., & Post, S. (2010). Models for the 3D Singular Isotropic Oscillator Quadratic Algebra. Physics of Atomic Nuclei, 73(2), 359–366. http://doi.org/10.1134/S1063778810020249en
dc.identifier.issn1063-7788en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/10148
dc.description.abstractWe give the first explicit construction of the quadratic algebra for a 3D quantum superintegrable system with nondegenerate (4-parameter) potential together with realizations of irreducible representations of the quadratic algebra in terms of differential—differential or differential—difference and difference—difference operators in two variables. The example is the singular isotropic oscillator. We point out that the quantum models arise naturally from models of the Poisson algebras for the corresponding classical superintegrable system. These techniques extend to quadratic algebras for superintegrable systems in n dimensions and are closely related to Hecke algebras and multivariable orthogonal polynomials.
dc.format.mimetypeapplication/pdf
dc.language.isoenen_NZ
dc.publisherMAIK NAUKA/INTERPERIODICA/SPRINGERen_NZ
dc.rightsThis is an author’s accepted version of an article published in the journal: Physics of Atomic Nuclei. © Pleiades Publishing, Ltd., 2010.
dc.subjectScience & Technologyen_NZ
dc.subjectPhysical Sciencesen_NZ
dc.subjectPhysics, Nuclearen_NZ
dc.subjectPhysics, Particles & Fieldsen_NZ
dc.subjectPhysicsen_NZ
dc.subjectPHYSICS, NUCLEARen_NZ
dc.subjectPHYSICS, PARTICLES & FIELDSen_NZ
dc.subject2ND-ORDER SUPERINTEGRABLE SYSTEMSen_NZ
dc.subjectCONFORMALLY FLAT SPACESen_NZ
dc.subject2 DIMENSIONSen_NZ
dc.subjectCLASSIFICATIONen_NZ
dc.subjectPOTENTIALSen_NZ
dc.titleModels for the 3D Singular Isotropic Oscillator Quadratic Algebraen_NZ
dc.typeJournal Article
dc.identifier.doi10.1134/S1063778810020249en_NZ
dc.relation.isPartOfPhysics of Atomic Nucleien_NZ
pubs.begin-page359
pubs.elements-id83265
pubs.end-page366
pubs.issue2en_NZ
pubs.publication-statusPublisheden_NZ
pubs.volume73en_NZ


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