# Calculation of the matrix elements of the Coulomb interaction involving relativistic hydrogenic wave functions ☆☆

## Description

Abstract A program is presented for calculation of 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. Relativistic hydrogenic wave functions are used for the numerical evaluation of the matrix elements. The applied algorithm is based on the multipole series expansion of the Coulomb potential. The radial part of the terms of this series expansion (known as G functions) can also be ob... Title of program: MTRDCOUL Catalogue Id: ADOX_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 MTRDCOUL calculates the matrix elements between bound and free states represented by relativistic hydrogenic wave functions. Versions of this program held in the CPC repository in Mendeley Data ADOX_v1_0; MTRDCOUL; 10.1016/S0010-4655(01)00294-6 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)