On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator
| dc.creator | Danilov, L. I. | |
| dc.date | 2008-05-04 | |
| dc.date | 2009-02-19 | |
| dc.date.accessioned | 2026-07-07T12:43:10Z | |
| dc.date.available | 2026-07-07T12:43:10Z | |
| dc.description | 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). | |
| dc.description | 65 pages, LaTeX. Typos corrected | |
| dc.identifier | https://arxiv.org/abs/0805.0399 | |
| dc.identifier | http://arxiv.org/abs/0805.0399 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220328 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.subject | 35P05 | |
| dc.title | On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator | |
| dc.type | text |