Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice.

DOI10.1016/S0393-0440(02)00226-7zbMath1046.82033MaRDI QIDQ1400168

Motoko Kotani

Publication date: 13 August 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Weyl representationCrystal latticeGroup \(C^{\ast}\)-algebraMagnetic transition operator

Mathematics Subject Classification ID

Related Items (5)

Spectral edge regularity of magnetic Hamiltonians ⋮ On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators ⋮ Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds ⋮ Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\) ⋮ On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians

Cites Work

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• Gauss polynomials and the rotation algebra
• An introduction to 3D discrete magnetic Laplacians and noncommutative 3-tori
• Lipschitz continuity of gap boundaries for Hofstadter-like spectra
• A CENTRAL LIMIT THEOREM FOR MAGNETIC TRANSITION OPERATORS ON A CRYSTAL LATTICE
• Standard realizations of crystal lattices via harmonic maps
• The spectrum of infinite regular line graphs
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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