arXiv:1009.0437·v2·Mathematical Physics
A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
Arne Alex🇩🇪 · Matthias Kalus🇩🇪 · Alan Huckleberry🇩🇪 · Jan von Delft🇩🇪
Abstract
We present an algorithm for the explicit numerical calculation of SU(N) and 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).
Comments: 35 pages, 3 figures, 5 tables