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Canonical parameters of the 3j coefficient
1.E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (Academic, New York, 1959), p. 290.
2.This equation, originally due to Racah, appears in various forms in a large number of works, e. g., A. de‐Shalit and I. Talmi, Nuclear Shell Theory (Academic, New York, 1963), p. 138. From the physical viewpoint, it is not usually taken to define the 3j coefficient, but, mathematically, it may be so used.
3.T. Regge, Nuovo Cimento 10, 544 (1958).
4.In fact, the full 72‐element symmetry group may be expressed as the direct product of the six‐element permutation group of with the 12‐element group of physical symmetries, i.e., permutations of the angular momenta and space reflection.
5.All that is required, actually, is that p be the smallest of the first triplet and that h be the largest of the second.
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