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

Blackett, A.J. and Stelbovics, A.T. (1999) Analytic first Born atomic scattering: A computer algebra solution using Maple V. Computer Physics Communications, 116 (1). pp. 78-94.

Link to Published Version: http://dx.doi.org/10.1016/S0010-4655(98)00185-4
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Abstract

Scattering amplitudes in the first Born approximation for electron-hydrogenic ion scattering are readily solved analytically for target's undergoing near ground state transitions. However, analytic solutions involving transitions to higher energy states are not so easily performed. We present a computer algebra solution and a Maple V Release 4 software package for analytically solving the first Born approximation to the electron-hydrogenic atom scattering problem. Given initial and final states for the e−target system, symbolic solutions for scattering amplitudes, differential cross sections and total cross sections can be calculated using this Maple package.

Item Type: Journal Article
Murdoch Affiliation: Centre for Atomic, Molecular and Surface Physics
Copyright: © 1999 Published by Elsevier B.V.
URI: http://researchrepository.murdoch.edu.au/id/eprint/18031
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