Scattering of a Klein-Gordon particle by a Woods-Saxon potential
High Energy Physics - Theory
2009-02-05 v1 Mathematical Physics
math.MP
Abstract
We solve the Klein-Gordon equation in the presence of a spatially one-dimensional Woods-Saxon potential. The scattering solutions are obtained in terms of hypergeometric functions and the condition for the existence of transmission resonances is derived. It is shown how the zero-reflection condition depends on the shape of the potential.
Keywords
Cite
@article{arxiv.hep-th/0503108,
title = {Scattering of a Klein-Gordon particle by a Woods-Saxon potential},
author = {Clara Rojas and Victor M. Villalba},
journal= {arXiv preprint arXiv:hep-th/0503108},
year = {2009}
}
Comments
10 pages, Revtex. To appear in Phys. Rev. A