Quasi-Spin Methods and Pairs of One-Particle CFP in the Seniority Scheme

Abstract

The use of creation and destruction operators to form irreducible tensors in quasi‐spin (triple tensors) is advanced to give the important points of the seniority scheme for linear and bilinear forms (CFP, matrix elements, and products). A number of such forms as studied by Racah and others are taken up with emphasis on cases diagonal in the seniority number, v. Values of CFP for seniority v + 1 can then be determined from those of seniority v − 1. The possibilities in quasi‐spin are explored to give a number of additional formulas for products of two CFP. Also, Redmond's formula and some specializations of it are found in the seniority scheme and their properties worked out. The calculation of CFP in the seniority scheme by these formulas is described and comparison made with other methods.