Scattering of a Klein–Gordon particle by a smooth barrier
Scattering of a Klein–Gordon particle by a smooth barrier
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 $M_{\kappa,\mu}(x)$ 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 …