Scattering solutions of the Klein Gordon equation for a step potential with hyperbolic tangent potential
arXiv:1409.5787 · doi:10.1142/S0217732314501466
Abstract
We solve the Klein-Gordon equation for a step potential with hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection coefficient R and transmission coefficient T are calculated, we observed superradiance and transmission resonances.
8 pages, 5 figures