A numerical algorithm for the explicit calculation of SU(N) and {SL}(N,\mathbb {C})SL(N,C) Clebsch-Gordan coefficients
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).
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- February 2011
- DOI:
- 10.1063/1.3521562
- arXiv:
- arXiv:1009.0437
- Bibcode:
- 2011JMP....52b3507A
- Keywords:
-
- 03.65.-w;
- 11.30.Ly;
- Quantum mechanics;
- Other internal and higher symmetries;
- Mathematical Physics;
- Condensed Matter - Other Condensed Matter;
- High Energy Physics - Theory;
- Mathematics - Representation Theory;
- Nuclear Theory
- E-Print:
- 35 pages, 3 figures, 5 tables