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arXiv · 1904.09501

A new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group

Jean-Christophe Pain
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Abstract

We present a new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group. The identity is obtained from an integral involving Gegenbauer ultraspherical polynomials. A similar procedure can be applied for other types of integrals of such polynomials, and may therefore lead to the derivation of further new relations.

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Jean-Christophe Pain. 2019-04-20. A new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group. https://doi.org/10.1007/s11005-019-01181-z

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