A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
Mathematical Physics
2011-04-05 v2 Other Condensed Matter
High Energy Physics - Theory
math.MP
Representation Theory
Nuclear Theory
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).
Keywords
Cite
@article{arxiv.1009.0437,
title = {A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients},
author = {Arne Alex and Matthias Kalus and Alan Huckleberry and Jan von Delft},
journal= {arXiv preprint arXiv:1009.0437},
year = {2011}
}
Comments
35 pages, 3 figures, 5 tables