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arXiv · 2111.13751

The $q$-analogue of the Quantum Theory of Angular Momentum: a review from special functions

Renato Álvarez-Nodarse·Alberto Arenas-Gómez
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Abstract

In the present paper we review the $q$-analogue of the Quantum Theory of Angular Momentum based on the $q$-algebra $su_q(2)$, with a special emphasis on the representation of the Clebsch-Gordan coefficients in terms of $q$-hypergeometric series. This representation allows us to obtain several known properties of the Clebsch-Gordan coefficients in an unified and simple way.

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Renato Álvarez-Nodarse, Alberto Arenas-Gómez. 2021-11-26. The $q$-analogue of the Quantum Theory of Angular Momentum: a review from special functions. https://arxiv.org/abs/2111.13751

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