A new algorithm for computation of SU₃ Clebsch–Gordon coefficients

A new, operator‐based algorithm for the calculation of Clebsch–Gordon coefficients for the group SU₃ is introduced, and an ansi c program for its implementation is described. The algorithm involves the use of raising and lowering operators in analogy to a standard pedagogical approach to the more familiar SU₂ Clebsch–Gordon coefficients. The nature of the approach makes the sign conventions utilized and the rules for resolution of the outer degeneracy explicit, and therefore allows straightforward changes to adapt the program to other choices. The program is written to allow its execution on personal computers of modest memory size, but also to take advantage of available memory allowing more complex results to be obtained on larger computing systems.