Mathematical Physics

    

Formulas for SU(3) Matrix Generators

Authors: Richard Shurtleff

The Lie algebra of a Lie group is a set of commutation relations, equations satisfied by the group's generators. For SU(2) and many other Lie groups, the equations have been solved and matrix generators are realized as algebraic expressions. This article derives formulas for a basis of matrix generators for the irreducible representations of the Lie group SU(3). A special sequence of eigenvectors is deduced to assist in the derivation. As algebraic functions, the formulas are suited to numerical evaluation, algebraic manipulations, and analytic operations.PACS: 02.20.Qs General properties, structure, and representation of Lie groups

Comments: 38 page paper with 2 figures and 2 tables plus a 17 page FORTRAN program

Download: PDF

Submission history

[v1] 2024-09-12 20:10:33
[v2] 2024-09-30 20:00:51
[v3] 2025-05-29 13:35:24
[v4] 2025-10-23 14:51:38

Unique-IP document downloads: 753 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus