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

Artigo

Fecha

2009-09-14

Registro en:

Physics Letters A. Amsterdam: Elsevier B.V., v. 373, n. 38, p. 3401-3406, 2009.

0375-9601

http://hdl.handle.net/11449/9230

10.1016/j.physleta.2009.07.054

WOS:000269990200001

6314084638411003

0212227705231604

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3885644

Autor

Universidade Estadual Paulista (Unesp)

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Materias

Dirac equation

Non-Hermitian potentials

PT symmetry

Exact solutions

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