# Coulomb wave functions in momentum space

## Description

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)