A Fortran program to calculate the matrix elements of the Coulomb interaction involving hydrogenic wave functions ☆

Published: 01-12-2000| Version 1 | DOI: 10.17632/yysswv4rbc.1
Laszlo Sarkadi


Abstract The presented program calculates the matrix elements of the Coulomb interaction between a charged particle and an atomic electron, ∫ψ_f *(r)|R-r|^(-1)ψ_i (r)dr. Bound-free transitions are considered, and non-relativistic hydrogenic wave functions are used. The program consists of subroutines that compute matrix elements between eigenstates of both the total angular momentum j, and the orbital angular momentum l. As further output quantities, the radial components of the multipole series exp... Title of program: MTRXCOUL Catalogue Id: ADMW_v1_0 Nature of problem The theoretical description of the excitation and ionization of atoms by charged particle impact often requires the knowledge of the matrix elements of the Coulomb interaction. The program MTRXCOUL calculates the matrix elements between bound and free states represented by non-relativistic hydrogenic wave functions. Versions of this program held in the CPC repository in Mendeley Data ADMW_v1_0; MTRXCOUL; 10.1016/S0010-4655(00)00160-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)