Data structure techniques for the graphical special unitary group approach to arbitrary spin representations

Abstract Title of programs: GENDRT, DRTDIM Catalogue number: AATF Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland (see application form in this issue) Computer: IBM PC, PC/XT, PC/AT; Installation: University of Windsor Operating system: MS-DOS (PC-DOS) version 2.1 or higher Programming language used: Pascal High speed storage required: GENDRT - 128 Kwords minimum, DRTDIM - 128 Kwords minimum Number of bits in a word: 16 Peripherals used: video terminal, floppy o... Title of program: GENDRT, DRTDIM Catalogue Id: AATF_v1_0 Nature of problem For the purpose of computing matrix elements of quantum mechanical operators in complex N-particle systems it is necessary that as much of each irreducible representation be stored in high-speed memory as possible inorder to achieve the highest possible rate of computations. A graph theoretic approach to the representation of N-particle systems involving arbitrary single-particle spin is presented. The method involves a generalization of a technique employed by Shavitt in developing the graphica ... Versions of this program held in the CPC repository in Mendeley Data AATF_v1_0; GENDRT, DRTDIM; 10.1016/0010-4655(87)90058-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 程序名称：GENDRT、DRTDIM 目录编号：AATF 程序获取途径：北爱尔兰贝尔法斯特女王大学CPC程序库（详见本期内的申请表） 适用计算机：IBM PC、PC/XT、PC/AT 安装单位：温莎大学 操作系统：MS-DOS（PC-DOS）2.1及更高版本 所用编程语言：Pascal 高速存储需求：GENDRT 最低128K字，DRTDIM 最低128K字 字长：16位 所用外设：视频终端、软盘…… 程序名称：GENDRT、DRTDIM 目录编号：AATF_v1_0 问题本质 为计算复杂N粒子体系中量子力学算符的矩阵元，需将各不可约表示尽可能多地存入高速内存，以实现尽可能高的计算速率。本文提出一种图论方法，用于表征包含任意单粒子自旋的N粒子体系。该方法推广了Shavitt在构建图形化相关技术时所采用的手段（原文存在截断）。 本程序收录于Mendeley数据中的CPC程序库版本：AATF_v1_0；GENDRT、DRTDIM；10.1016/0010-4655(87)90058-0 本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2018）