# Maple procedures for the coupling of angular momenta I. Data structures and numerical computations

## Description

Abstract The theory of angular momentum and of spherical tensor operators leads to algebraic expressions which are usually written in terms of generalized Clebsch-Gordan coefficients and/or Wigner n-j symbols. In principle, the evaluation and simplification of such expressions is a straightforward task but it can also become extremely cumbersome in more complex applications, for instance, in atomic and nuclear structure theory or in the study of angular dependent properties. In these fields, simplific... Title of program: Racah Catalogue Id: ADFV_v1_0 Nature of problem Computer algebra (CA) is used to evaluate Wigner n-j symbols and vector coupling coefficients and to simplify typical expressions which appear by using Racah algebra techniques. A set of Maple commands for interactive work is presented. Versions of this program held in the CPC repository in Mendeley Data ADFV_v1_0; Racah; 10.1016/S0010-4655(97)00032-5 ADFV_v2_0; Racah; 10.1016/S0010-4655(98)00021-6 ADFV_v3_0; RACAH; 10.1016/S0010-4655(00)00234-4 ADFV_v4_0; RACAH; 10.1016/S0010-4655(01)00218-1 ADFV_v5_0; RACAH; 10.1016/S0010-4655(01)00219-3 ADFV_v6_0; RACAH; 10.1016/S0010-4655(02)00591-X ADFV_v7_0; RACAH; 10.1016/S0010-4655(03)00227-3 ADFV_v8_0; RACAH; 10.1016/j.cpc.2004.11.003 ADFV_v9_0; RACAH; 10.1016/j.cpc.2005.12.008 ADFV_v10_0; RACAH; 10.1016/j.cpc.2009.06.018 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)