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Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential
Authors:Khaled Saaidi  Khaled Saaidi
Affiliation:(1) University of Kurdistan, Pasdaran Ave., Sanandaj, Iran. Institute for Studies in Theoretical Physics and Mathematics, P.O. Box, Tehran 19395-5531, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, P.O. Box, Tehran, 19395-5531, Iran
Abstract:It has been observed that a quantum theory need not be Hermitian to have a real spectrum. We study the non-Hermitian relativistic quantum theories for many complex potentials, and obtain the real relativistic energy eigenvalues and corresponding eigenfunctions of a Dirac-charged particle in complex statically and spherically symmetric potentials. Complex Dirac–Eckart, complex Dirac–Rosen–Morse II, complex Dirac–Scarf and complex Dirac–Poschl–Teller potential are investigated.
Keywords:eigenvalue spectrum  Dirac particle  complex potential
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