This paper presents a general method to solve non-hermeticity potentials with PT (Parity-Time) symmetry using two first-order operators against η-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-Mrse-II and Pchl-Teller. Finally, it was shown that the real potentials can be converted to complex potentials with eigenvalues of a class of η-pseudo-hermeticity.

本文提出了一种使用两个一阶算子来解决具有PT（奇偶时间）对称性的非气密势的通用方法，该算子针对具有位置依赖的有效质量的η -弱伪气密性。它进一步提出了一种方法，将这种方法应用于具有自旋波函数和具有实能谱的非密封势的狄拉克方程，考虑位置相关的有效质量。为了显示效用，这种方法适用于一些超电势，例如 Eckart、Scarf-II、Rosen-Mrse-II 和 Pchl-Teller。最后，证明了实势可以转换为复势，其特征值为一类η -伪密封性。