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Transmission resonances and supercritical states in a one dimensional cusp potential

Victor M. Villalba, Walter Greiner

hep-tharXiv:hep-th/0305041

Abstract

We solve the two-component Dirac equation in the presence of a spatially one dimensional symmetric cusp potential. We compute the scattering and bound states solutions and we derive the conditions for transmission resonances as well as for supercriticality.

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