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

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

2010-09-02

arxiv.org/abs/1009.0437v2

J. Math. Phys. 52:023507,2011

Physics

Mathematical Physics

35 pages, 3 figures, 5 tables

Scientific paper

10.1063/1.3521562

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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