Fermions in the background of mixed vector-scalar-pseudoscalar square potentials
arXiv:1507.08318 · doi:10.1016/j.aop.2015.10.018
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 Schrödinger 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.
10 pages, 5 figures. arXiv admin note: text overlap with arXiv:nucl-th/0604068 by other authors
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