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Analytic first Born atomic scattering: A computer algebra solution using Maple V
Journal article   Peer reviewed

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

A.J. Blackett and A.T. Stelbovics
Computer Physics Communications, Vol.116(1), pp.78-94
1999
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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.

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Citation topics
5 Physics
5.230 Solitons
5.230.124 Soliton Dynamics
Web Of Science research areas
Computer Science, Interdisciplinary Applications
Physics, Mathematical
ESI research areas
Physics
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