Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

Abstract

We have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2009.