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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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DOI

10.1002/chin.201507094

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1572-9575

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Bounded Solutions of the Dirac Equation with a PT

Authors: ChunSheng Jia YongFeng Diao JianYi Liu
Publish Date: 2007/09/11
Volume: 47, Issue: 3, Pages: 664-672
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Abstract

The 1+1dimensional Dirac equation with a PTsymmetric kinklike vector potential is investigated By using the basic concepts of the supersymmetric WKB formalism and the function analysis method we solve exactly the Dirac equation and obtain the boundstate energy levels and twocomponent spinor components The PTsymmetric kinklike potential is not Hermitian and absent of bound states in the context of nonrelativistic Schrödinger equation but it possesses two sets of real discrete relativistic energy spectra in the context of the Dirac theory When the PT symmetry is spontaneously broken two sets of real energy spectra come into complex conjugate

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