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Transmission resonances and supercritical states in a one dimensional cusp potential

arXiv:hep-th/0305041 · doi:10.1103/PhysRevA.67.052707

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.

10 pages. Revtex 4. To appear in Phys Rev. A