Maple procedures for the coupling of angular momenta II. Sum rule evaluation

Abstract
In a previous paper (S. Fritzsche, Comput. Phys. Commun. 103 (1997) 51), we defined data structures to deal with typical expressions from Racah algebra within the framework of Maple. Such expressions arise very frequently in various fields, for instance, by treating composite wave functions and tensor operators in many-particle physics. Often, these Racah expressions are written in terms of Clebsch-Gordan coefficients and Wigner n-j symbols. Our previous set of Maple procedures mainly concern...

Title of program: Racah
Catalogue Id: ADFV_v2_0 [ADHW]

Nature of problem
Computer algebra (CA) is used to evaluate and to simplify typical expressions from Racah algebra which may also include the summation over dummy quantum numbers. A large variety of sum rules is implemented in a set of Maple commands for interactive use.

Versions of this program held in the CPC repository in Mendeley Data
ADFV_v1_0; Racah; 10.1016/S0010-4655(97)00032-5
ADFV_v2_0; Racah; 10.1016/S0010-4655(98)00021-6
ADFV_v3_0; RACAH; 10.1016/S0010-4655(00)00234-4
ADFV_v4_0; RACAH; 10.1016/S0010-4655(01)00218-1
ADFV_v5_0; RACAH; 10.1016/S0010-4655(01)00219-3
ADFV_v6_0; RACAH; 10.1016/S0010-4655(02)00591-X
ADFV_v7_0; RACAH; 10.1016/S0010-4655(03)00227-3
ADFV_v8_0; RACAH; 10.1016/j.cpc.2004.11.003
ADFV_v9_0; RACAH; 10.1016/j.cpc.2005.12.008
ADFV_v10_0; RACAH; 10.1016/j.cpc.2009.06.018

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要
在先前的一篇论文中（S. Fritzsche, Comput. Phys. Commun. 103 (1997) 51），我们定义了一套数据结构，用以处理在 Maple 环境下 Racah 代数中的典型表达式。此类表达式在诸多领域频繁出现，例如，在多粒子物理中处理复合波函数和张量算符时。通常，这些 Racah 表达式以 Clebsch-Gordan 系数和 Wigner n-j 符号的形式表示。我们先前编制的 Maple 程序主要关注...

程序名称：Racah
目录编号：ADFV_v2_0 [ADHW]

问题性质
计算机代数（CA）被应用于评估与简化 Racah 代数中的典型表达式，这些表达式可能还包括对虚量子数的求和。一套包含多种求和规则的 Maple 命令被实现，以供交互式使用。

本程序在 Mendeley 数据库中的 CPC 存档版本
ADFV_v1_0; Racah; 10.1016/S0010-4655(97)00032-5
ADFV_v2_0; Racah; 10.1016/S0010-4655(98)00021-6
ADFV_v3_0; RACAH; 10.1016/S0010-4655(00)00234-4
ADFV_v4_0; RACAH; 10.1016/S0010-4655(01)00218-1
ADFV_v5_0; RACAH; 10.1016/S0010-4655(01)00219-3
ADFV_v6_0; RACAH; 10.1016/S0010-4655(02)00591-X
ADFV_v7_0; RACAH; 10.1016/S0010-4655(03)00227-3
ADFV_v8_0; RACAH; 10.1016/j.cpc.2004.11.003
ADFV_v9_0; RACAH; 10.1016/j.cpc.2005.12.008
ADFV_v10_0; RACAH; 10.1016/j.cpc.2009.06.018

该程序已从贝尔法斯特女王大学（1969-2018）的 CPC 程序库中导入。