A rational theory of Clebsch-Gordan coefficients

被引：1

作者：

Donley, Robert W., Jr. ^{[1
]}

Kim, Won Geun ^{[2
]}

机构：

[1] CUNY, Queensborough Community Coll, Dept Math & Comp Sci, Bayside, NY 11364 USA

[2] CUNY City Coll, Dept Math, New York, NY 10031 USA

来源：

REPRESENTATION THEORY AND HARMONIC ANALYSIS ON SYMMETRIC SPACES | 2018年 / 714卷

关键词：

Clebsch-Gordan coefficient; Wigner coefficient; 3-j symbol; coupling coefficient; angular momentum; Pascal's recurrence;

D O I：

10.1090/conm/714/14382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A theory of Clebsch-Gordan coefficients for SL(2, C) is given using only rational numbers. Features include orthogonality relations, recurrence relations, and Regge's symmetry group. Results follow from elementary representation theory and properties of binomial coefficients. A computational algorithm is given based on Pascal's recurrence.

引用

页码：115 / 130

页数：16