Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling
Quantum Physics
2015-05-13 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0903.3930,
title = {Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling},
author = {V. G. C. S. dos Santos and A. de Souza Dutra and M. B. Hott},
journal= {arXiv preprint arXiv:0903.3930},
year = {2015}
}
Comments
11 pages