On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator
Mathematical Physics
2009-02-19 v3 math.MP
Spectral Theory
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 , , 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).
Keywords
Cite
@article{arxiv.0805.0399,
title = {On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator},
author = {L. I. Danilov},
journal= {arXiv preprint arXiv:0805.0399},
year = {2009}
}
Comments
65 pages, LaTeX. Typos corrected