Scattering of a klein–gordon particle by a smooth barrier


Abstract:

We present a study of the one-dimensional Klein–Gordon equation by a smooth barrier. The scattering solutions are given in terms of the Whittaker Mκ,μ(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 the smoothness parameter we observed transmission resonances.

Año de publicación:

2020

Keywords:

  • Klein–Gordon equation
  • Scattering theory
  • Hypergeometric functions

Fuente:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Mecánica cuántica
  • Mecánica cuántica

Áreas temáticas:

  • Física moderna
  • Física