Coulomb wave functions in momentum space

Abstract
An algorithm to calculate non-relativistic partial-wave Coulomb functions in momentum space is presented. The arguments are the Sommerfeld parameter η, the angular momentum l, the asymptotic momentum q and the 'running' momentum p, where both momenta are real. Since the partial-wave Coulomb functions exhibit singular behavior when p→q, different representations of the Legendre functions of the 2nd kind need to be implemented in computing the functions for the values of p close to the singular...

Title of program: libcwfn
Catalogue Id: AEUQ_v1_0

Nature of problem
The calculation of partial wave Coulomb functions with integer l and all other arguments real.

Versions of this program held in the CPC repository in Mendeley Data
AEUQ_v1_0; libcwfn; 10.1016/j.cpc.2014.10.002

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要：本文提出了一种计算动量空间中非相对论性部分波库仑函数的算法。该算法的参数包括索末菲尔德参数η、角动量l、渐进行动量q以及‘运行’动量p，其中动量均为实数。由于部分波库仑函数在p趋近于q时表现出奇异性，因此在计算p接近奇点处的函数值时，需要实现第二类勒让德函数的不同表示形式。

程序名称：libcwfn
目录编号：AEUQ_v1_0

问题性质：计算具有整数l和所有其他实数参数的部分波库仑函数。

此程序版本存储在Mendeley数据中的CPC存储库中：AEUQ_v1_0；libcwfn；10.1016/j.cpc.2014.10.002

该程序已从贝尔法斯特女王大学（1969-2018）持有的CPC程序库中导入。