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

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3521562· OSTI ID:21501275
;  [1]; ;  [2]
  1. Physics Department, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universitaet Muenchen, D-80333 Muenchen (Germany)
  2. Fakultaet fuer Mathematik, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
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).
OSTI ID:
21501275
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 52; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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