Formulas for SU(3) Matrices
Mathematical Physics
2023-05-30 v3 High Energy Physics - Theory
math.MP
Abstract
Formulas are developed for the eight basis matrices {T^+,T^-,T^3,V^+,V^-,U^+,U^-,U^3} of the finite dimensional (p,q)-irreducible representation of SU(3). Two computer programs, one in an interpretive language and one in a compiled language, are included. Given p and q, each calculates the eight basis matrices.
Cite
@article{arxiv.0908.3864,
title = {Formulas for SU(3) Matrices},
author = {Richard Shurtleff},
journal= {arXiv preprint arXiv:0908.3864},
year = {2023}
}
Comments
45 pages, 2 figures, 1 Mathematica, 1 Fortran 90 program (8 + 21 = 29 pages of code); typos corrected, references added, the Fortran program in v3 is new