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

2021/11/26 by R. Álvarez-Nodarse, Álvarez-Nodarse, Renato, Alberto Arenas-Gómez +1
Mathematics · #33C45 #81R50 #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2111.13751

openalex publication_date 2021/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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