$mathcal{P}$, $mathcal{T}$, and $mathcal{P}$$mathcal{T}$−symmetries of impulsive Dirac

Abstract

This article is concerned with locations of bound states and spectral singularities of an impulsive Dirac system. By using a transfer matrix, we obtain some spectral properties of this impulsive system. We also examine some special cases, where the impulsive condition at the origin has $mathcal{P}$, $mathcal{T}$, and $mathcal{P}$$mathcal{T}$−symmetry.