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arxiv: hep-th/0305041 · v1 · submitted 2003-05-06 · ✦ hep-th · quant-ph

Transmission resonances and supercritical states in a one dimensional cusp potential

classification ✦ hep-th quant-ph
keywords cuspdimensionalpotentialresonancesstatestransmissionboundcompute
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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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