Absolute continuity of the magnetic Schrodinger operator with periodic potential

DOI10.11568/KJM.2018.26.4.601zbMath1428.35242OpenAlexW2908313839MaRDI QIDQ5204457

Assel Rachid

Publication date: 4 December 2019

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/665/427

zbMATH Keywords

continuous spectrumSchrödinger operatorFloquet theoryperiodic potentialharmonic oscillatoropen gaps

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Absence of singular continuous spectrum for certain self-adjoint operators
• Introduction to spectral theory. With applications to Schrödinger operators
• On the spectrum of an Even periodic Schrödinger operator with a rational magnetic flux
• Stability of gaps for periodic potentials under variation of a magnetic field
• Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems
• Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals

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