Scattering of a scalar relativistic particle by the hyperbolic tangent potential
Scattering of a scalar relativistic particle by the hyperbolic tangent potential
We solve the Klein–Gordon equation in the presence of the hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection, R, and transmission, T, coefficients are calculated in terms of gamma function and, superradiance is discussed, when the reflection coefficient, R, is greater than one.