Improved Expressions for the Matrix Elements of Operators of Spin-Dependent Interactions

摘要

Inaccuracies are indicated in the expressions for twoelectron matrix elements of spin interaction in previous works. Definitions of radial integrals are presented which express the energy of these interactions between the electrons in an atom, and establish their characteristics. Computations were performed for a more precise definition of previous results. Tables are presented which can be employed with those in the previous works to find the correct expressions for the matrix elements of the energy of spin interactions for a number of configurations. (Author)