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arXiv · 1112.5607

Transition probability functions for inelastic electron--electron scattering

Stefan Löffler·Peter Schattschneider
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Abstract

In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in the Slater-type and the hydrogen-like orbital models. These expressions are shown to be composed of a finite sum of polynomials and elementary trigonometric functions. Hence, they are easy to use, require little computation time, and are significantly more accurate than commonly used approximations.

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Stefan Löffler, Peter Schattschneider. 2011-12-23. Transition probability functions for inelastic electron--electron scattering. https://doi.org/10.1016/j.micron.2012.03.020

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