Solvable potentials in pseudo-hermetic Dirac equation with PT symmetry

This paper presents a general method to solve non-hermeticity potentials with PT (Parity-Time) symmetry using two first-order operators against eta-weak-pseudo-hermiticity having position-dependent effective mass. It futher suggests a way to apply this method to Dirac equation with spinor wave functions and non-hermetic potentials with real energy spectrum considering position-dependent effective mass. To show the utilities this method was apply to some superpotentials such as Eckart, Scarf-II, Rosen-Morse-II and Pochl-Teller. Finally, it was shown that the real potentials can be converted to complex potentials with eigenvalues of a class of eta-pseudo-hermeticity.