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Symmetry 2014, 6(1), 103-110; doi:10.3390/sym6010103
Article

Pseudo Hermitian Interactions in the Dirac Equation

1,*  and 2
1 INFN—Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via A. Pascoli, Perugia 06123, Italy 2 Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpur Trunck Road Kolkata 700108, India
* Author to whom correspondence should be addressed.
Received: 31 July 2013 / Revised: 18 December 2013 / Accepted: 23 December 2013 / Published: 17 March 2014
(This article belongs to the Special Issue Physics based on Two-by-two Matrices)
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Abstract

We consider a (2 + 1)-dimensional massless Dirac equation in the presence of complex vector potentials. It is shown that such vector potentials (leading to complex magnetic fields) can produce bound states, and the Dirac Hamiltonians are η-pseudo Hermitian. Some examples have been explicitly worked out.
Keywords: pseudo Herimitian Hamiltonians; two-dimensional Dirac Equation; complex magnetic fields. pseudo Herimitian Hamiltonians; two-dimensional Dirac Equation; complex magnetic fields.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Panella, O.; Roy, P. Pseudo Hermitian Interactions in the Dirac Equation. Symmetry 2014, 6, 103-110.

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