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Quantum Simulation

Scattering of a scalar relativistic particle by the hyperbolic tangent potential

arXiv

Authors: Clara Rojas

Year

2014

Paper ID

47413

Status

Preprint

Abstract Read

~2 min

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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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We solve the Klein-Gordon equation in the presence of the hyperbolic tangent potential.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.6342 [2] arXiv https://arxiv.org/abs/1409.6342 [3] Publisher https://arxiv.org/abs/1409.6342

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