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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorKress, Jonathan M.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2013-02-08T01:28:09Z
dc.date.available2013-02-08T01:28:09Z
dc.date.copyright2013-01-18
dc.date.issued2013
dc.identifier.citationKalnins, E. G., Kress, J. M., & Miller, W. (2013). Superintegrability in a non-conformally-flat space. Journal of Physics A: Mathematical and Theoretical, 46(2), 022002.en_NZ
dc.identifier.issn1751-8113
dc.identifier.urihttps://hdl.handle.net/10289/7158
dc.description.abstractSuperintegrable systems in two- and three-dimensional spaces of constant curvature have been extensively studied. From these, superintegrable systems in conformally flat spaces can be constructed by Stackel transform. In this paper a method developed to establish the superintegrability of the Tremblay-Turbiner-Winternitz system in two dimensions is extended to higher dimensions and a superintegrable system on a non-conformally-flat four-dimensional space is found. In doing so, curvature corrections to the corresponding classical potential are found to be necessary. It is found that some subalgebras of the symmetry algebra close polynomially.en_NZ
dc.language.isoen
dc.publisherInstitute of Physicsen_NZ
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.subjectquantumen_NZ
dc.subjectsystemsen_NZ
dc.titleSuperintegrability in a non-conformally-flat spaceen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1088/1751-8113/46/2/022002en_NZ
dc.relation.isPartOfJournal of Physics A: Mathematical and Theoreticalen_NZ
pubs.begin-page1en_NZ
pubs.elements-id38256
pubs.end-page12en_NZ
pubs.issue2en_NZ
pubs.volume46en_NZ
uow.identifier.article-noARTN 022002en_NZ


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