Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

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Elsevier

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info:eu-repo/semantics/closedAccess

Abstract

The most general combination of couplings of fermions with external potentials in 1+1 dimensions, must include vector, scalar and pseudoscalar potentials. We consider such a mixing of potentials in a PT-symmetric time-independent Dirac equation. The Dirac equation is mapped into an effective PT-symmetric Schr¨odinger equation. Despite the non-hermiticity of the effective potential, we find real energies for the fermion.

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The file in this item is the post-print version of the article (author’s copy; author’s final manuscript, accepted for publication after peer-review process). Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription.

Keywords

physics, Hermitian Hamiltonians, energy eigenvalues, non-Hermitian time-dependent, Schrödinger equation.

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Physics Letters A

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Volume

42

Issue

39

Citation

O. Mustafa; MR2568144 by dos Santos, V. G. C. S.; de Souza Dutra, A.; Hott, M. B. Real spectra for the non-Hermitian Dirac equation in $1+1$ dimensions with the most general coupling.

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