# Elliot angular momentum states projected from the gel'fand U(3) basis

#### Abstract

Eigenstates of the total orbital angular momentum and one component thereof are obtained by projection from the extremal U(3) basis states for the isotropic harmonic oscillator. A rule complementary to that given by Elliott for the requisite quantum number K is given and the interpretation of the use of K in state labeling is clarified. An explicit form for the normalization and overlap integrals of the projected states is developed in a form convenient for machine coding. © 1968.

*This paper has been withdrawn.*