The periodic Dirac operator is absolutely continuous

DOI10.1007/BF01272881zbMath0937.35032MaRDI QIDQ1304740

Mikhail Sh. Birman, Tatiana Suslina

Publication date: 23 May 2000

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

zbMATH Keywords

Schrödinger operatorDirac operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator ⋮ Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator ⋮ On the spectrum of a relativistic Landau Hamiltonian with a periodic electric potential ⋮ On the spectrum of magnetic Dirac operators with Coulomb-type perturbations ⋮ On perturbations of Dirac operators with variable magnetic field of constant direction ⋮ On the structure of spectra of periodic elliptic operators ⋮ Spectrum of the periodic Dirac operator ⋮ Mikhail Shlemovich Birman \lowercase{(on the occasion of his 75th birthday)} ⋮ Uniform Sobolev inequalities and absolute continuity of periodic operators ⋮ An overview of periodic elliptic operators ⋮ On the density of states for the periodic Schrödinger operator ⋮ On the mathematical work of M. Sh. Birman

Cites Work

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• Spectrum of the Dirac operator in \({\mathbb{R}}^ n\) with periodic potential
• Floquet theory for partial differential equations

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