A new Fortran program for CFPs of an identical fermion system

Abstract
A new Fortran program called CFPSIF is introduced. Using the new recurrent formula obtained by us the program CFPSIF calculates the fractional parentage coefficients (CFPs) of an identical fermion system with well-defined seniority. The recurrent process is controlled by the multiplicity of the irreducible representations (IRREPs) of group O(3) in the reduction SP (N) ⊃ O(3). It is shown that the program CFPSIF is more efficient than the program GENESIS, especially for a system with a relativ...

Title of program: CFPSIF
Catalogue Id: ADAB_v1_0

Nature of problem
The program calculates all the coefficients of fractional parentage (CFPs)[1] of identical fermion system, by using the recurrent relations [2] with well-defined seniority. It is of fundamental importance in constructing a many-particle wave function with well-defined permutational symmetry and total angular momentum CFPs method is one of the most efficient method for construction of such wave functions. It is an iterative method, namely, the n-particle wave function is constructed from (n-1) pa ...

Versions of this program held in the CPC repository in Mendeley Data
ADAB_v1_0; CFPSIF; 10.1016/0010-4655(94)00123-J

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

摘要
本文介绍一款名为CFPSIF的全新Fortran程序。该程序依托我们推导得到的全新递推公式，可计算具有确定资历量子数的全同费米子系统的分数母系数（Fractional Parentage Coefficients, CFPs）。其递推过程由群约化SP(N)⊃O(3)时O(3)群不可约表示（IRREPs）的重数所控制。研究表明，CFPSIF程序的计算效率优于GENESIS程序，尤其适用于具有相对论性的系统……

程序名称：CFPSIF
目录编号：ADAB_v1_0

问题本质
本程序通过采用具备确定资历量子数的递推关系式[2]，计算全同费米子系统的全部分数母系数（Fractional Parentage Coefficients, CFPs）[1]。该方法对于构建具有确定置换对称性与总角动量的多粒子波函数具有核心意义，而分数母系数法正是构建此类波函数的最高效方法之一。该方法属于迭代方法，即通过(n-1)个粒子的波函数来构建n粒子波函数……

Mendeley数据集中CPC库内收录的本程序版本：
ADAB_v1_0; CFPSIF; 10.1016/0010-4655(94)00123-J

本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2019年）