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Scattering solutions of the Klein Gordon equation for a step potential with hyperbolic tangent potential

Published 18 Sep 2014 in quant-ph and hep-th | (1409.5787v1)

Abstract: We solve the Klein-Gordon equation for a step potential with hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection coefficient R and transmission coefficient T are calculated, we observed superradiance and transmission resonances.

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