A Spinor Approach to the SU(2) Clebsch-Gordan Coefficients

被引：0
|
作者：
Yang, Ling-Di [1 ]
Chen, Fa-Min [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Phys, Beijing 100044, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2019年 / 71卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Clebsch-Gordan coefficients; spinors; representations;
D O I：
10.1088/0253-6102/71/6/663
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We review the irreducible representation of an angular momentum vector operator constructed in terms of spinor algebra. We generalize the idea of spinor approach to study the coupling of the eigenstates of two independent angular momentum vector operators. Utilizing the spinor algebra, we are able to develop a simple way for calculating the SU(2) Clebsch-Gordan (CG) coefficients. The explicit expression for the SU(2) CG coefficients is worked out, and some simple physical examples are presented to illustrate the spinor approach.
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页码：663 / 669
页数：7
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