On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator

Abstract

In this paper, for d > 2, we prove the absolute continuity of the spectrum of a d-dimensional periodic Dirac operator with some discontinuous magnetic and electric potentials. In particular, for d = 3, electric potentials from Zygmund classes $L^3{\ln }^{1+\delta }L(K)$, $\delta >0$, and also ones with Coulomb singularities, with constraints on charges depending on the magnetic potential, are admitted (here K is the fundamental domain of the period lattice).

65 pages, LaTeX. Typos corrected

Cited by in corpus (1)

• On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator