Scattering of a Klein-Gordon particle by a Hulth\'en potential
Quantum Physics
2007-10-16 v1
Abstract
The Klein-Gordon equation in the presence of a spatially one-dimensional Hulth\'en potential is solved exactly and the scattering solutions are obtained in terms of hypergeometric functions. The transmission coefficient is derived by the matching conditions on the wavefunctions and the condition for the existence of transmission resonances are investigated. It is shown how the zero-reflection condition depends on the shape of the potential.
Cite
@article{arxiv.0710.2575,
title = {Scattering of a Klein-Gordon particle by a Hulth\'en potential},
author = {Jian You Guo and Xiang Zheng Fang and Chuan Mei Xie},
journal= {arXiv preprint arXiv:0710.2575},
year = {2007}
}
Comments
6 pages,8 figures