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

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2024-03-19 DOI:10.1134/S106192084010023

R. Álvarez-Nodarse, A. Arenas-Gómez

引用次数: 0

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

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角动量量子理论的 $$q$$ 对应：特殊函数回顾

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 $q$ -类比，特别强调了克莱布什-戈尔登系数在 $q$ -超几何级数方面的表示。这种表示法使我们能够以统一而简单的方式获得克莱布什-戈尔登系数的几个已知性质。 doi 10.1134/s106192084010023

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.

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

Abstract