A numerical algorithm for the explicit calculation of SU(<i>N</i>) and $\mbox{SL}(N,\mathbb {C})$SL(N,C) Clebsch–Gordan coefficients
A numerical algorithm for the explicit calculation of SU(<i>N</i>) and $\mbox{SL}(N,\mathbb {C})$SL(N,C) Clebsch–Gordan coefficients
We present an algorithm for the explicit numerical calculation of SU(N) and \documentclass[12pt]{minimal}\begin{document}$\mbox{SL}(N,\mathbb {C})$\end{document}SL(N,C) Clebsch–Gordan coefficients, based on the Gelfand–Tsetlin pattern calculus. Our algorithm is well suited for numerical implementation; we include a computer code in an appendix. Our exposition presumes only familiarity with the representation theory of SU(2).