A new FORTRAN program for the CFP's of a system with identical bosons

Abstract A simple FORTRAN program called CFPSIB, which determines coefficients of fractional parentage (CFP) for a system with identical bosons, is introduced. By using the new recurrent relation of the CFP directly labelled by seniority and the analytical formulae of the multiplicity of an irreducible representation (irrep) of group O (3) in an irrep of group O (N), the program is faster and more efficient for a system with a relatively large number of bosons. Title of program: CFPSIB Catalogue Id: ACGW_v1_0 Nature of problem The program calculates all the coefficients of fractional parentage (CFP) of a boson system, by using the recurrent relation with well defined seniority. CFP's are the expansion coefficients of symmetrised n-body wave functions in terms of symmetrised (n-1)-body wave functions and the wave function of the nth particle. It is of fundamental importance in constructing the many-particle wave function with well defined permutational symmetry and total angular momentum, and in calculating the reduced ... Versions of this program held in the CPC repository in Mendeley Data ACGW_v1_0; CFPSIB; 10.1016/0010-4655(92)90098-J ACGW_v2_0; RCFPSIB; 10.1016/0010-4655(94)00122-I This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)摘要 本文介绍了一款名为CFPSIB的简单FORTRAN程序，用于计算全同玻色子系统的分数母系数（coefficients of fractional parentage, CFP）。该程序借助以资历（seniority）直接标记的CFP新型递推关系，以及O(N)群不可约表示（irreducible representation, irrep）中O(3)群不可约表示的重数解析公式，在玻色子数目相对较多的系统中具备更快的计算速度与更高的计算效率。 程序名称：CFPSIB 目录编号：ACGW_v1_0 问题属性 本程序通过采用带有明确定义的资历的递推关系，计算玻色子系统的全部分数母系数。CFP是将对称化的n体波函数按对称化的(n-1)体波函数与第n个粒子的波函数展开的展开系数，在构建具有确定置换对称性与总角动量的多粒子波函数，以及计算约化[...]中具有基础性重要意义。 本程序在Mendeley数据集中的CPC程序库版本如下： ACGW_v1_0; CFPSIB; 10.1016/0010-4655(92)90098-J ACGW_v2_0; RCFPSIB; 10.1016/0010-4655(94)00122-I 本程序源自贝尔法斯特女王大学所维护的CPC程序库（1969-2019）