A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients

2 Sep 2010  ·  Arne Alex, Matthias Kalus, Alan Huckleberry, Jan von Delft ·

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).

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Mathematical Physics Other Condensed Matter High Energy Physics - Theory Mathematical Physics Representation Theory Nuclear Theory