Scattering of a relativistic scalar particle by a cusp potential
High Energy Physics - Theory
2008-11-26 v1 Quantum Physics
Abstract
We solve the Klein-Gordon equation in the presence of a spatially one-dimensional cusp potential. The scattering solutions are obtained in terms of Whittaker functions and the condition for the existence of transmission resonances is derived. We show the dependence of the zero-reflection condition on the shape of the potential. In the low momentum limit, transmission resonances are associated with half-bound states. We express the condition for transmission resonances in terms of the phase shifts.
Keywords
Cite
@article{arxiv.hep-th/0610083,
title = {Scattering of a relativistic scalar particle by a cusp potential},
author = {Victor M. Villalba and Clara Rojas},
journal= {arXiv preprint arXiv:hep-th/0610083},
year = {2008}
}
Comments
To appear in Physics Letters A