Abstract
We derive general equations for angular coefcients needed to carry out atomic structure computations using symbolic state expansions. In this new approach the energy is expressed, not in terms of kinetic energy and Slater integrals, but in terms of two-electron matrix elements, with coefcients that are independent of the one-electron quantum numbers involved in these matrix elements. Specic results are given for the matrix elements of a symmetric scalar two-body operator involving singlereplacement and double-replacement symbolic states. The derivations use jj coupling, coefcients of fractional parentage for nonequivalent electrons, and diagrammatic angular momentum algebra.
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