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arXiv · 1707.03022

A rational theory for Clebsch-Gordan coefficients

Robert W. Donley Jr.·Won Geun Kim
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Abstract

A theory of Clebsch-Gordan coefficients for $SL(2, C)$ is given using only rational numbers. Features include orthogonality relations, recurrence relations, and Regge's symmetry group. Results follow from elementary representation theory and properties of binomial coefficients. A computational algorithm is given based on Pascal's recurrence.

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BibTeXRIS

Robert W. Donley Jr., Won Geun Kim. 2017-07-10. A rational theory for Clebsch-Gordan coefficients. https://arxiv.org/abs/1707.03022

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