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arXiv · 0903.3930

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

V. G. C. S. dos Santos·A. de Souza Dutra·M. B. Hott
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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\"{o}dinger equation. Despite the non-hermiticity of the effective potential, we find real energies for the fermion.

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V. G. C. S. dos Santos, A. de Souza Dutra, M. B. Hott. 2009-03-23. Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling. https://doi.org/10.1016/j.physleta.2009.07.054

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