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

Santos, V. G. C. S. dos; Dutra, Alvaro de Souza; Hott, M. B.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/9230

Title:

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

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)

ISSN:

0375-9601

Sponsorship:

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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 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.

Issue Date:

14-Sep-2009

Citation:

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

Time Duration:

3401-3406

Publisher:

Elsevier B.V.

Keywords:

Dirac equation
Non-Hermitian potentials
PT symmetry
Exact solutions

Source:

http://dx.doi.org/10.1016/j.physleta.2009.07.054

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/9230

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