On the Dirac equation with PT-symmetric potentials in the presence of position-dependent mass

TL;DR

This paper investigates the Dirac equation with PT-symmetric potentials and position-dependent mass, analyzing its effects on continuity and orthonormalization, and clarifying misconceptions about neutral fermion interactions.

Contribution

It provides a detailed analysis of PT-symmetric potentials in the Dirac equation with position-dependent mass, addressing continuity, orthonormalization, and correcting literature misconceptions.

Findings

PT-symmetric potential affects the continuity equation

Orthogonality conditions are modified by the potential

Clarifies misconceptions about neutral fermion interactions

Abstract

The relativistic problem of fermions subject to a PT-symmetric potential in the presence of position-dependent mass is reinvestigated. The influence of the PT-symmetric potential in the continuity equation and in the orthonormalization condition are analyzed. In addition, a misconception diffused in the literature on the interaction of neutral fermions is clarified.