The \(q\)-Analog of the Quantum Theory of Angular Momentum: a Review from Special Functions

In the present paper, we review the \(q\) -analog 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.

DOI 10.1134/S106192084010023