On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form

J.D. Louck, L.C. Biedenharn, Max A. Lohe

Research output: Contribution to journalComment/debate

Abstract

The canonical resolution of the multiplicity problem for tensor operators in SU(3) is equivalent to the map (the denominator mapping) from the set of all SU(3) unit tensor operators to SU(3) invariant functions (the denominator functions). The denominator function vanishes precisely on that characteristic null space that specifies each operator uniquely since [for SU(3)] the characteristic null spaces are known to be simply ordered. Each denominator function can be expressed, up to explicitly known multiplicative factors, as a ratio of two successive polynomials in the set {Gt g}, t=0,1,..., q+1, q=0,1,... . By obtaining explicitly the set of all polynomials {Gt q}, this paper completes the construction of all SU(3) denominator functions.
Original languageEnglish
Pages (from-to)1106-1117
Number of pages12
JournalJournal of Mathematical Physics
Volume29
Issue number5
DOIs
Publication statusPublished - 1988

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