New perspective on the U(n) Wigner-Racah calculus. II. Elementary reduced Wigner coefficients for U(n)

Abstract

For pt.I, see ibid., vol.20, no.9, p.2241-50 (1987). Exploiting the powerful formalism of the vector coherent state theory expounded in part I, the group theoretical content of the complementarity principle and a novel interpretation of the operator pattern of Biedenharn and Louck, the authors rederive in a simple fashion all U(n): U(n-1) reduced Wigner coefficients for the elementary U(n) tensors.