Group Theoretical Interpretations of Special Function Identities: Two Examples
1994; Society for Industrial and Applied Mathematics; Volume: 25; Issue: 2 Linguagem: Inglês
10.1137/s0036141092230337
ISSN1095-7154
AutoresL. C. Biedenharn, A. K. Çiftçi,
Tópico(s)Black Holes and Theoretical Physics
ResumoPrevious article Next article Group Theoretical Interpretations of Special Function Identities: Two ExamplesL. C. Biedenharn and A. K. ÇiftçiL. C. Biedenharn and A. K. Çiftçihttps://doi.org/10.1137/S0036141092230337PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractTwo examples, taken from quantum physics, are used to illustrate how group theoretical concepts afford an intuitive understanding of relationships between certain special function identities.[1] E. P. Wigner, Application of Group Theory to the Special Functions of Mathematical Physics, 1955, Princeton University, Princeton, NJ, unpublished lecture notes Google Scholar[2] N. I. Vilenkin, Special Functions and the Theory of Group Representations, Nauka, Moscow, 1965 Google Scholar[3] R. A. Askey, , T. H. Koornwinder and , W. Schempp, Special functions: group theoretical aspects and applications, Mathematics and its Applications, D. 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Anal., 3 (1972), 446–460 10.1137/0503043 47:520 0276.33019 LinkGoogle ScholarKeywordsspecial functionssymmetry groupsquantal angular momentum group $SU(2)$group representationsKronecker product (Wigner product law)group contraction Previous article Next article FiguresRelatedReferencesCited byDetails Volume 25, Issue 2| 1994SIAM Journal on Mathematical Analysis History Submitted:04 May 1992Accepted:08 February 1993Published online:01 August 2006 InformationCopyright © 1994 © Society for Industrial and Applied MathematicsKeywordsspecial functionssymmetry groupsquantal angular momentum group $SU(2)$group representationsKronecker product (Wigner product law)group contractionMSC codes33C1033C4533C55PDF Download Article & Publication DataArticle DOI:10.1137/S0036141092230337Article page range:pp. 274-287ISSN (print):0036-1410ISSN (online):1095-7154Publisher:Society for Industrial and Applied Mathematics
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