Implementation of the U(n) tensor operator calculus in a vector Bargmann Hilbert space

Abstract

Using a vector coherent state framework and an associated vector Bargmann Hilbert space (1961), the structure of two classes of U(n): U(n-1) unit projective operators is shown to be intimately related to (6-j) and (9-j) coefficients of the U(n-1) subalgebra. Explicit verification of limit properties for these operators allows the unambiguous assignment of a set of canonical operator labels.