  It has been observed that a quantum theory need not to be Hermitian to have a
real spectrum. We study the non-Hermitian relativistic quantum theories for
many complex potentials, and we obtain the real relativistic energy eigenvalues
and corresponding eigenfunctions of a Dirac charged particle in complex static
and spherically symmetric potentials. Complex Dirac-Eckart, complex
Dirac-Rosen-Morse II, complex Dirac-Scarf and complex Dirac-Poschl-Teller
potential are investigated.
