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

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

2008-05-04

arxiv.org/abs/0805.0399v3

Physics

Mathematical Physics

65 pages, LaTeX. Typos corrected

Scientific paper

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).

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