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arXiv · 0805.0399

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

L. I. Danilov
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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 $L^3\ln ^{1+δ}L(K)$, $δ>0$, 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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L. I. Danilov. 2009-02-19. On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator. https://arxiv.org/abs/0805.0399

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