Scattering of a Klein-Gordon particle by a smooth barrier
Quantum Physics
2020-10-28 v1 High Energy Physics - Theory
Abstract
We present the study of the one-dimensional Klein-Gordon equation by a smooth barrier. The scattering solutions are given in terms of the Whittaker function. The reflection and transmission coefficients are calculated in terms of the energy, the height and the smoothness of the potential barrier. For any value of the smoothness parameter we observed transmission resonances.
Keywords
Cite
@article{arxiv.2005.03005,
title = {Scattering of a Klein-Gordon particle by a smooth barrier},
author = {Eduardo López and Clara Rojas},
journal= {arXiv preprint arXiv:2005.03005},
year = {2020}
}
Comments
14 pages, 7 figures. Accepted in Can. J. Phys