Scattering solutions of the Klein-Gordon equation for a step potential with hyperbolic tangent potential

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.

Año de publicación:

2014

Keywords:

• Klein-Gordon equation
• Scattering theory
• Hypergeometric functions

Fuente:

scopus