Study of superradiance in the Lambert-W potential barrier

Abstract

We present a new potential barrier that presents the phenomenon of superradiance when the reflection coefficient $R$ is greater than one. We calculated the transmission and reflection coefficients for three different regions. The results are compared with those obtained for the hyperbolic tangent potential barrier and the step potential barrier. We also present the solution of the Klein-Gordon equation with the Lambert-W potential barrier in terms of the Heun Confluent functions.

arXiv comment11 pages, 7 figures

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Cited by in corpus (2)

• Scattering of a Klein-Gordon particle by a smooth barrier
• Exactly-solvable quantum systems in terms of Lambert-W functions