Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8201762 | Annals of Physics | 2016 | 11 Pages |
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 is conditioned by the intensity of the pseudoscalar potential, which possess a critical value.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Luiz P. de Oliveira, Luis B. Castro,