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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.contributor.authorPogosyan, G.S.
dc.date.accessioned2008-10-30T00:21:29Z
dc.date.available2008-10-30T00:21:29Z
dc.date.issued1997-10
dc.identifier.citationKalnins, E.G., Miller, W., Jr. & Pogosyan, G.S. (1997). Superintegrability on the two-dimensional hyperboloid. Journal of Mathematical Physics, 38, 5416.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1199
dc.description.abstractIn this work we examine the basis functions for classical and quantum mechanical systems on the two-dimensional hyperboloid that admit separation of variables in at least two coordinate systems. We present all of these cases from a unified point of view. In particular, all of the special functions that arise via variable separation have their essential features expressed in terms of their zeros. The principal new results are the details of the polynomial bases for each of the nonsubgroup bases, not just the subgroup spherical coordinate cases, and the details of the structure of the quadratic symmetry algebras.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherAmerican Institute of Physicsen_NZ
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/38/5416/1en_US
dc.rightsCopyright 1997 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.subjectfunctionsen_US
dc.subjectSchrodinger equationen_US
dc.subjectsupersymmetryen_US
dc.subjectquantum theoryen_US
dc.subjectclassical mechanicsen_US
dc.subjectpolynomialsen_US
dc.subjectgroup theoryen_US
dc.subjectalgebraen_US
dc.titleSuperintegrability on the two-dimensional hyperboloiden_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.531951en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page5416en_NZ
pubs.elements-id28968
pubs.end-page5433en_NZ
pubs.issue10en_NZ
pubs.volume38en_NZ


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