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arXiv · 1409.6342

Scattering of a scalar relativistic particle by the hyperbolic tangent potential

Clara Rojas
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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 $R$ and transmission $T$ coefficients are calculated in terms of Gamma function and, superradiance is discussed, when the reflection coefficient $R$ is greater than one.

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Clara Rojas. 2014-09-19. Scattering of a scalar relativistic particle by the hyperbolic tangent potential. https://doi.org/10.1139/cjp-2014-0309

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