Clebsch-Gordan coefficients and special function identities. I. The harmonic oscillator group

Willard Miller

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

It is shown that by constructing explicit realizations of the Clebsch-Gordan decomposition for tensor products of irreducible representations of a group G, one can derive a wide variety of special function identities with physical interest. In this paper, the representation theory of the harmonic oscillator group is used to give elegant derivations of identities involving Hermite, Laguerre, Bessel, and hypergeometric functions.

Original languageEnglish (US)
Pages (from-to)648-655
Number of pages8
JournalJournal of Mathematical Physics
Volume13
Issue number5
DOIs
StatePublished - Jan 1 1972

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