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.
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Saaidi, K., Saaidi, K. Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential. International Journal of Theoretical Physics 43, 959–968 (2004). https://doi.org/10.1023/B:IJTP.0000048593.26103.a7
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DOI: https://doi.org/10.1023/B:IJTP.0000048593.26103.a7