Transition probability functions for inelastic electron--electron scattering
Materials Science
2013-04-09 v1 Chemical Physics
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.
Cite
@article{arxiv.1112.5607,
title = {Transition probability functions for inelastic electron--electron scattering},
author = {Stefan Löffler and Peter Schattschneider},
journal= {arXiv preprint arXiv:1112.5607},
year = {2013}
}