Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump

Lyonell Boulton, David Krejcirik, Tho Nguyen Duc

In this paper we present a complete spectral analysis of Dirac operators with non-Hermitian matrix potentials of the form $i\mathrm{sgn}(x)+V(x)$ where $V\in L^1$. For $V=0$…