Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling
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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 Schrodinger equation. Despite the non-hermiticity of the effective potential, we find real energies for the fermion. (C) 2009 Elsevier B.V. All rights reserved.