On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator

DOI10.1007/s00020-011-1906-zzbMath1241.35141OpenAlexW2127543607MaRDI QIDQ429727

Leonid I. Danilov

Publication date: 20 June 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1906-z

zbMATH Keywords

Dirac operatorperiodic potentialabsolutely continuous spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ An overview of periodic elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectrum of the Dirac operator in \({\mathbb{R}}^ n\) with periodic potential
• Absolute continuity of spectra of two-dimensional periodic Schrödinger operators with strongly subordinate magnetic potentials
• Absolute continuity of the periodic magnetic Schrödinger operator
• The periodic Dirac operator is absolutely continuous
• On the spectrum of the two-dimensional periodic Dirac operator
• Absolute continuity of the spectrum of a periodic Schrödinger operator
• The periodic Schrödinger operators with potentials in the Morrey class
• On the spectrum of a class of second order periodic elliptic differential operators
• Resolvent estimates and spectrum of the Dirac operator with periodic potential
• The absolute continuity of the spectrum of Maxwell operator in a periodic media
• On the structure of spectra of periodic elliptic operators
• Absolute continuity of the “even" periodic Schrödinger operator with nonsmooth coefficients
• Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator
• On absolute continuity of the spectrum of three- and four-dimensional periodic Schrödinger operators
• Absence of singular spectrum for a perturbation of a two-dimensional Laplace-Beltrami operator with periodic electromagnetic potential
• On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator
• Uniform Sobolev inequalities and absolute continuity of periodic operators
• Floquet theory for partial differential equations
• Spectrum of the periodic Dirac operator

This page was built for publication: On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator