# Calculation of reduced coefficients and matrix elements in jj-coupling

## Description

Abstract A program RCFP will be presented for calculating standard quantities in the decomposition of many-electron matrix elements in atomic structure theory. The list of quantities which are supported by the present program includes the coefficients of fractional parentage, the reduced coefficients of fractional parentage, the reduced matrix elements of the unit operator T^kas well as the completely reduced matrix elements of the operator W^(k(j)k(q))in jj-coupling. These quantities are now ava... Title of program: RCFP Catalogue Id: ADNA_v1_0 Nature of problem The calculation of atomic properties and level structures is based on the evaluation of many-particle matrix elements of physical operators. For symmetry-adapted functions, the matrix element for a given tensor operator A^K of rank K can be expressed as Sigmaj,k coeff(j,k)(gammaj Jj||A^K||gammak Jk) by using the (reduced) coefficients of fractional parentage and the reduced matrix elements of the (unit) standard tensors T^k or W^kqkj. These reduced coefficients and matrix elements are frequently ... Versions of this program held in the CPC repository in Mendeley Data ADNA_v1_0; RCFP; 10.1016/S0010-4655(00)00176-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)