TL;DR
This paper derives explicit formulas for the basis matrices of SU(3) irreducible representations and provides computer programs to compute these matrices for given parameters.
Contribution
It introduces formulas for SU(3) basis matrices and offers software implementations for their calculation based on representation parameters.
Findings
Explicit formulas for SU(3) basis matrices
Software programs for matrix computation
Applicable to finite-dimensional irreducible representations
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.
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Taxonomy
TopicsElectron Spin Resonance Studies · Matrix Theory and Algorithms · Finite Group Theory Research