Spectrum of the periodic Dirac operator

DOI10.1007/BF02551063zbMath1031.81023arXiv0905.4622MaRDI QIDQ5941966

Leonid I. Danilov

Publication date: 28 August 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4622

zbMATH Keywords

absolute continuity of the spectrumperiodic Dirac operator

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) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential ⋮ Absolute continuity of the spectrum of a periodic 3D magnetic Schrödinger operator with singular electric potential ⋮ Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator ⋮ Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator ⋮ Uniform Sobolev inequalities and absolute continuity of periodic operators ⋮ An overview of periodic elliptic operators

Cites Work

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• Spectrum of the Dirac operator in \({\mathbb{R}}^ n\) with periodic potential
• The periodic Dirac operator is absolutely continuous
• On the spectrum of the two-dimensional periodic Dirac operator
• Resolvent estimates and spectrum of the Dirac operator with periodic potential

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