Coulomb scattering in the Born approximation and the use of generalized functions
Quantum Physics
2021-07-26 v1 History and Philosophy of Physics
Abstract
We discuss three ways of obtaining the Born approximations for Coulomb scattering: The standard way, making use of a convergence factor ("screening"), Oppenheimer's way using cylindrical (instead of spherical) coordinates, and finally Landau and Lifshitz' way. The last one although it does require some background from the theory of generalized functions is nevertheless a very instructive and important technique deserving more exposure to physicists.
Cite
@article{arxiv.2102.13105,
title = {Coulomb scattering in the Born approximation and the use of generalized functions},
author = {Peter Collas},
journal= {arXiv preprint arXiv:2102.13105},
year = {2021}
}
Comments
Submitted to the American Journal of Physics