# Explicit formulae of angular momentum coupling coefficients

## Description

Abstract A program has been developed to generate algebraic formulae of the coupling coefficients of angular momenta. The algebraic programming system REDUCE version 3.3 is used for programming. The program consists of several REDUCE prefix operators. They carry out symbolic reductions of Clebsch-Gordan coefficients, Racah coefficients, X-coefficients, and related coefficients. Both variables and values of angular momentum can be their arguments. The program allows one to use these operators in the sa... Title of program: ANALG Catalogue Id: ACJV_v1_0 Nature of problem The program allows us algebraic reductions of Wigner's formula for Clebsch-Gordan coefficients and Racah's formula for Racah coefficients. With use of these two formulae, the program gives explicit algebraic expressions for Clebsch-Gordan coefficients, Racah coefficients, the X-coefficients, and other related coupling coefficients of angular momenta. The program contains several operators and each of them returns a coefficient accepting both values and variables of angular momentum as their argu ... Versions of this program held in the CPC repository in Mendeley Data ACJV_v1_0; ANALG; 10.1016/0010-4655(92)90147-Q This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)