Resolvent estimates and spectrum of the Dirac operator with periodic potential

Abstract

Some estimates are given of the norm of the resolvent of the Dirac operator on ann-dimensional torus (n ≥ 2) for complex values of the quasimomentum. It is shown that the spectrum of the periodic Dirac operator with potential $$V \in L_{loc}^\beta (R^3 ),\beta > 3$$ , β>3, is absolutely continuous.