A resolution of the SU(3) outer multiplicity problem and computation of Wigner coefficients for SU(3)
- 21 October 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (15), 2913-2933
- https://doi.org/10.1088/0305-4470/19/15/016
Abstract
A simple algorithm is given for the resolution of the SU(3) multiplicity problem and the computation of SU(3) Wigner coefficients using a complete set of U(2)(X)U(3) Bargmann tensors classified by operator patterns. Null space properties of these tensors are easily derived. Their structure is such that a direct one-to-one correspondence is shown to exist between the Bargmann tensors and the terms in the Clebsch-Gordan series for SU(3) as derived by O'Reilly (1982). Finally, the resolution presented herein is shown to be concordant with an alternative resolution advocated long ago by Hecht.Keywords
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