Corpus ID: 10109031

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

@article{Danilov2008OnAC,
  title={On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator},
  author={L. Danilov},
  journal={arXiv: Mathematical Physics},
  year={2008}
}
  • L. Danilov
  • Published 2008
  • Mathematics, Physics
  • arXiv: Mathematical Physics
  • 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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