Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices

DOI10.1007/S11868-018-0271-YzbMath1497.47070arXiv1809.05883OpenAlexW2889932581WikidataQ128781478 ScholiaQ128781478MaRDI QIDQ2419248

Kasper S. Sørensen, Benjamin Støttrup, Henrik Garde, Horia D. Cornean

Publication date: 29 May 2019

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05883

zbMATH Keywords

spectral estimatesgeneralized Hofstadter matricesmagnetic pseudodifferential operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items (2)

A calculus for magnetic pseudodifferential super operators ⋮ Sharp spectral stability for a class of singularly perturbed pseudo-differential operators

Cites Work

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• Low lying spectral gaps induced by slowly varying magnetic fields
• Magnetic Fourier integral operators
• Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras
• On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators
• Continuity of the spectrum of a field of self-adjoint operators
• The Peierls-Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework
• Characterization of pseudodifferential operator and application
• Lipschitz continuity of gap boundaries for Hofstadter-like spectra
• Effective dynamics for Bloch electrons: Peierls substitution and beyond
• Perturbation theory for linear operators.
• Peierls' substitution for low lying spectral energy windows
• Magnetic pseudodifferential operators
• Peierls substitution for magnetic Bloch bands
• Spectral edge regularity of magnetic Hamiltonians
• APPLICATIONS OF MAGNETIC ΨDO TECHNIQUES TO SAPT
• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
• Commutator Criteria for Magnetic Pseudodifferential Operators
• A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames
• Symplectic areas, quantization, and dynamics in electromagnetic fields
• On asymptotic perturbation theory for quantum mechanics: Almost invariant subspaces and gauge invariant magnetic perturbation theory
• The magnetic Weyl calculus
• On the continuity of spectra for families of magnetic pseudodifferential operators
• The Effect of a Magnetic Field on Electrons in a Periodic Potential

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