# Programs for generating Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases

## Description

Abstract Computer codes are developed to calculate Clebsch–Gordan coefficients of SU(3) in both SU(2)- and SO(3)-coupled bases. The efficiency of this code derives from the use of vector coherent state theory to evaluate the required coefficients directly without recursion relations. The approach extends to other compact semi-simple Lie groups. The codes are given in subroutine form so that users can incorporate the codes into other programs. Title of program: SU3CGVCS Catalogue Id: ADTN_v1_0 Nature of problem The group SU(3) and its Lie algebra su(3) have important applications, for example, in elementary particle physics , nuclear physics, and quantum optics. The code presented is particularly relevant for the last two fields. Clebsch-Gordan (CG) coefficients are required whenever the symmetries of many-body systems are used for the evaluation of matrix elements of tensor operators. Moreover, the construction of CG coefficients for SU(3) serves as a nontrivial prototype for larger compact semi-simpl ... Versions of this program held in the CPC repository in Mendeley Data ADTN_v1_0; SU3CGVCS; 10.1016/j.cpc.2004.01.005 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)