Symmetry coupling coefficients for the icosahedral double group

Abstract

The V symmetry coupling coefficients for the icosahedral double group are generated from the behaviour of a minimum number of |JM> ket vectors where the symmetry coupling coefficients are defined as analogues of the Racah V coefficients. The phases are determined from the way the irreducible representations for the specific J values are defined. An investigation of the symmetry properties of the system by a translation of the |JM> ket vectors for integral J values is examined. The handling of the irreducible-tensor method in group notation is discussed briefly.