Abstract

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

中文翻译：

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$$q$$ -角动量量子理论的模拟：特殊函数的回顾

摘要

在本文中，我们回顾了基于 \(q\) 代数 \(su_q(2)\) 的角动量量子理论的 \(q\) 模拟，特别强调了Clebsch 的表示– 以\(q\)表示的戈登系数 - 超几何级数。这种表示方式使我们能够以统一且简单的方式获得 Clebsch-Gordan 系数的几个已知属性。

DOI 10.1134/S106192084010023