Spectral properties of massless Dirac operators with real-valued potentials (Spectral and Scattering Theory and Related Topics)

Abstract

We prove that a Schnol'-type theorem holds for massless Dirac operators under minimal assumptions on the potential, and apply this result to conclude that the spectrum of a certain class of such operators covers the whole real line. We also discuss embedded eigenvalues of massless Dirac operators with suitable scalar potentials.