GYutsis: heuristic based calculation of general recoupling coefficients

Abstract
General angular momentum recoupling coefficients can be expressed as a summation formula over products of 6-j coefficients. Yutsis, Levinson and Vanagas developed graphical techniques for representing the general recoupling coefficient as a cubic graph and they describe a set of reduction rules allowing a stepwise generation of the corresponding summation formula. This paper is a follow up to [Van Dyck and Fack, Comput. Phys. Comm. 151 (2003) 353–368] where we described a heuristic algorithm ...

Title of program: GYutsis: VAN DYCK, FACK
Catalogue Id: ADRM_v2_0 [ADSA]

Nature of problem
A general recoupling coefficient for an arbitrary number of (integer or half-integer) angular momenta can be expressed as a formula consisting of products of 6-j coefficients summed over a certain number of variables . Such a formula can be generated using the program GYutsis (with a grap hical user front end ) or CycleCostAlgorithm (with a text-mode user fron t end).

Versions of this program held in the CPC repository in Mendeley Data
ADRM_v1_0; CycleCostAlgorithm, GYutsis; 10.1016/S0010-4655(02)00733-6
ADRM_v2_0; GYutsis: VAN DYCK, FACK; 10.1016/S0010-4655(03)00280-7

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
通用的角动量重耦合系数可以表示为6-j系数乘积的求和公式。Yutsis、Levinson及Vanagas开发了图形技术，用以将通用的重耦合系数表示为立方图，并描述了一套简化规则，允许逐步生成相应的求和公式。本文是对[Van Dyck和Fack, Comput. Phys. Comm. 151 (2003) 353–368]的后续研究，其中我们描述了一种启发式算法...

程序名称：GYutsis：VAN DYCK, FACK
目录编号：ADRM_v2_0 [ADSA]

问题性质
任意数量（整数或半整数）角动量的通用重耦合系数可以表示为一个由6-j系数乘积组成的公式，该公式涉及一定数量的变量的求和。此公式可以通过程序GYutsis（配备图形用户界面）或CycleCostAlgorithm（配备文本界面）生成。

Mendeley数据中CPC存储库中持有的此程序的版本
ADRM_v1_0; CycleCostAlgorithm, GYutsis; 10.1016/S0010-4655(02)00733-6
ADRM_v2_0; GYutsis: VAN DYCK, FACK; 10.1016/S0010-4655(03)00280-7

该程序已从贝尔法斯特女王大学（1969-2019）的CPC程序库中导入。