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dc.contributor.authorKalnins G., Ernest
dc.contributor.authorMiller, Jr , Willard
dc.contributor.authorSubag , Eyal
dc.date.accessioned2017-02-09T11:33:24Z
dc.date.available2017-02-09T11:33:24Z
dc.date.issued2016
dc.identifier.citationActa Polytechnica. 2016, vol. 56, no. 3, p. 214-223.
dc.identifier.issn1210-2709 (print)
dc.identifier.issn1805-2363 (online)
dc.identifier.urihttp://hdl.handle.net/10467/67257
dc.description.abstractQuantum superintegrable systems are solvable eigenvalue problems. Their solvability is due to symmetry, but the symmetry is often ``hidden''.The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to define quadratic algebras, a generalization of Lie algebras. Distinct systems and their algebras are related by geometric limits, induced by generalized Inönü-Wigner Lie algebra contractions of the symmetry algebras of the underlying spaces. These have physical/geometric implications, such as the Askey scheme for hypergeometric orthogonal polynomials. The systems can be best understood by transforming them to Laplace conformally superintegrable systems and using ideas introduced in the 1894 thesis of Bôcher to study separable solutions of the wave equation. The contractions can be subsumed into contractions of the conformal algebra  so(4,C) to itself. Here we announce main findings, with detailed classifications in papers under preparation.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherČeské vysoké učení technické v Prazecs
dc.publisherCzech Technical University in Pragueen
dc.relation.ispartofseriesActa Polytechnica
dc.relation.urihttps://ojs.cvut.cz/ojs/index.php/ap/article/view/3265
dc.rightsCreative Commons Attribution 4.0 International Licenseen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectconformal superintegrability, contractions, Laplace equationsen
dc.titleLAPLACE EQUATIONS CONFORMAL SUPERINTEGRABILITY AND BÔCHER CONTRACTIONS
dc.typearticleen
dc.date.updated2017-02-09T11:33:24Z
dc.identifier.doihttps://doi.org/10.14311/AP.2016.56.0214
dc.rights.accessopenAccess
dc.type.statusPeer-reviewed
dc.type.versionpublishedVersion


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Except where otherwise noted, this item's license is described as Creative Commons Attribution 4.0 International License