Analytic first Born atomic scattering: a computer algebra solution using Maple V

Scattering amplitudes in the first Born approximation for electron-hydrogen ic ion scattering are readily solved analytically for target's undergoing n ear ground state transitions. However, analytic solutions involving transit ions to higher energy states are not so easily performed. We present a comp uter algebra solution and a Maple V Release 4 software package for analytic ally solving the first Born approximation to the electron-hydrogenic atom s cattering problem. Given initial and final states for the e(-)-target syste m, symbolic solutions for scattering amplitudes, differential cross section s and total cross sections can be calculated using this Maple package. (C) 1999 Elsevier Science B.V.