Abstract

Polynomial bases for the group SU(3) ⊃ R 3 are derived. Explicit expressions, normalized, are given for all simple states, i.e., those for which L, M are sufficient internal labels. Closed formulas without sums are given for the Wigner coefficients in the following cases: (p 1, 0)×(p 2, 0)→(p 1+p 2, 0) (p 1, 0)×(p 2, 0)→(p 1+p 2−2, 1) (p 1, 0)×(p 2, 0)→(p 1+p 2, 1) where p 1 and p 2 are arbitrary. Symmetries of the Wigner coefficients are discussed.

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