Show simple item record  

dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorKress, Jonathan M.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-10-24T03:58:29Z
dc.date.available2008-10-24T03:58:29Z
dc.date.issued2006-09
dc.identifier.citationKalnins, E.G., Kress, J.M. & Miller, W., Jr. (2006). Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems. Journal of Mathematical Physics, 47, 093501.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1151
dc.description.abstractThis paper is the conclusion of a series that lays the groundwork for a structure and classification theory of second-order superintegrable systems, both classical and quantum, in conformally flat spaces. For two-dimensional and for conformally flat three-dimensional spaces with nondegenerate potentials we have worked out the structure of the classical systems and shown that the quadratic algebra always closes at order 6. Here we describe the quantum analogs of these results. We show that, for nondegenerate potentials, each classical system has a unique quantum extension. We also correct an error in an earlier paper in the series (that does not alter the structure results) and we elucidate the distinction between superintegrable systems with bases of functionally linearly independent and functionally linearly dependent symmetries.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherAmerican Institute of Physicsen_NZ
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/47/093501/1en_US
dc.rightsCopyright 2006 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.subjectquantum theoryen_US
dc.subjectalgebraen_US
dc.subjectsymmetryen_US
dc.titleSecond-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systemsen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.2337849en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page093501en_NZ
pubs.elements-id32717
pubs.end-page093501en_NZ
pubs.issue9en_NZ
pubs.volume47en_NZ
uow.identifier.article-noARTN 093501en_NZ


Files in this item

This item appears in the following Collection(s)

Show simple item record