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

Details Transmission resonances for a Dirac particle in a one-dimensional Hulthén potential Transmission resonances for a Dirac particle in a one-dimensional Hulthén potential

2007-10-13

arxiv.org/abs/0710.2576v1

Physics

Mathematical Physics

7 pages, 6 figures

Scientific paper

We have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulth\'en potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have calculated the reflection and transmission coefficients by the matching conditions on the wavefunctions, and investigated the condition for the existence of transmission resonances. Furthermore, we have demonstrated how the transmission-resonance condition depends on the shape of the potential.

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