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arXiv · 1507.08318

Fermions in the background of mixed vector-scalar-pseudoscalar square potentials

Luiz P. de Oliveira·Luis B. Castro
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Abstract

The general Dirac equation in 1+1 dimensions with a potential with a completely general Lorentz structure is studied. Considering mixed vector-scalar-pseudoscalar square potentials, the states of relativistic fermions are investigated. This relativistic problem can be mapped into a effective Schr\"{o}dinger equation for a square potential with repulsive and attractive delta-functions situated at the borders. An oscillatory transmission coefficient is found and resonant state energies are obtained. In a special case, the same bound energy spectrum for spinless particles is obtained, confirming the predictions of literature. We showed that existence of bound-state solutions are conditioned by the intensity of the pseudoscalar potential, which posses a critical value.

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Luiz P. de Oliveira, Luis B. Castro. 2015-07-29. Fermions in the background of mixed vector-scalar-pseudoscalar square potentials. https://doi.org/10.1016/j.aop.2015.10.018

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