SU(3) in an O(3) basis. II. Solution of the state labelling problem

Publisher Website
Google Scholar
Abstract
For pt. I see abstr. A10632 of 1973. The problem of l degeneracies in the reduction of irreducible representations (p, q) of SU(3) with respect to its O(3) subgroup is considered. Orthonormal states corresponding to the same l value are defined as eigenvectors of hermitian operators and, by the use of l shift operators, an algorithm is given for the calculation of the eigenvalues of thses hermitian operators. A full analysis is given of the (p, 0) representations, which contain no l degeneracies, and all eigenvalues of the third and fourth order O(3) scalar operators are calculated for the (4, 2), (5, 2) and (6, 2) representations which contain doubly l degenerate states.

This publication has 5 references indexed in Scilit: