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A new Fortran program for CFPs of an identical fermion system

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doi.org2025-01-21 收录
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http://doi.org/10.17632/gfst777rwh.1
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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 一种名为CFPSIF的新Fortran程序被引入。该程序通过我们获得的新的递归公式,计算具有明确尊阶的相同费米子系统的分父系数(CFPs)。递归过程由群O(3)不可约表示(IRREPs)的乘积在SP(N)⊃O(3)约化中的多重性所控制。研究表明,CFPSIF程序比GENESIS程序更高效,尤其是在相对论系统方面。 程序名称:CFPSIF 目录编号:ADAB_v1_0 问题性质 该程序通过使用具有明确尊阶的递归关系[2],计算相同费米子系统的所有分父系数(CFPs)[1]。在构建具有明确排列对称性和总角动量分父系数的许多粒子波函数方面,具有重要意义。CFP方法是最有效的构建此类波函数的方法之一。它是一种迭代方法,即n粒子波函数是由(n-1)粒子波函数构建而成的。 Mendeley数据中CPC存储库中持有的此程序的版本 ADAB_v1_0; CFPSIF; 10.1016/0010-4655(94)00123-J 此程序已从贝尔法斯特女王大学(1969-2019)的CPC程序库中导入。
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