Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass

dc.contributorSouthWest Petroleum University
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:27:41Z
dc.date.available2014-05-20T13:27:41Z
dc.date.created2014-05-20T13:27:41Z
dc.date.issued2008-03-01
dc.identifierAnnals of Physics. San Diego: Academic Press Inc. Elsevier B.V., v. 323, n. 3, p. 566-579, 2008.
dc.identifier0003-4916
dc.identifierhttp://hdl.handle.net/11449/9171
dc.identifier10.1016/j.aop.2007.04.007
dc.identifierWOS:000254673400003
dc.identifier6314084638411003
dc.description.abstractWe present a new method to construct the exactly solvable PT-symmetric potentials within the framework of the position-dependent effective mass Dirac equation with the vector potential coupling scheme in 1 + 1 dimensions. In order to illustrate the procedure, we produce three PT-symmetric potentials as examples, which are PT-symmetric harmonic oscillator-like potential, PT-symmetric potential with the form of a linear potential plus an inversely linear potential, and PT-symmetric kink-like potential, respectively. The real relativistic energy levels and corresponding spinor components for the bound states are obtained by using the basic concepts of the supersymmetric quantum mechanics formalism and function analysis method. (C) 2007 Elsevier B.V. All rights reserved.
dc.languageeng
dc.publisherAcademic Press Inc. Elsevier B.V.
dc.relationAnnals of Physics
dc.relation2.367
dc.relation0,987
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectDirac equation
dc.subjectposition-dependent effective mass
dc.subjectPT-symmetric potential
dc.titleExtension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass
dc.typeArtículos de revistas


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