SU(3) Clebsch-Gordan Coefficients
Marius Grigorescu
TL;DR
This paper derives recurrence formulas for calculating SU(3) Clebsch-Gordan coefficients, providing a detailed group-theoretic framework and methods for their computation in representation theory.
Contribution
It introduces a comprehensive set of recurrence formulas for SU(3) Clebsch-Gordan coefficients, enhancing computational techniques in group theory.
Findings
Derived general recurrence formulas for SU(3) Clebsch-Gordan coefficients
Presented detailed treatment of irreducible representation spaces
Established a systematic framework for calculating tensor products
Abstract
The paper contains the derivation of a general set of recurrence formulas for the calculus of the SU(3) Clebsch-Gordan coefficients. The first six sections are introductory, presenting the notations and placing SU(3) in the framework of the general group theory. The following eight sections are devoted to the detailed treatment of the carrier spaces of the irreducible representations and their direct product.
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Taxonomy
TopicsAdvanced Algebra and Geometry