English

Scattering of a scalar relativistic particle by the hyperbolic tangent potential

Quantum Physics 2020-05-11 v1 High Energy Physics - Theory

Abstract

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 RR and transmission TT coefficients are calculated in terms of Gamma function and, superradiance is discussed, when the reflection coefficient RR is greater than one.

Keywords

Cite

@article{arxiv.1409.6342,
  title  = {Scattering of a scalar relativistic particle by the hyperbolic tangent potential},
  author = {Clara Rojas},
  journal= {arXiv preprint arXiv:1409.6342},
  year   = {2020}
}

Comments

6 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1409.5787