On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians

Abstract

We study the regularity properties of the Hausdorff distance between spectra of continuous Harper-like operators. As a special case we obtain Hölder continuity of this Hausdorff distance with respect to the intensity of the magnetic field for a large class of magnetic elliptic (pseudo)differential operators with long range magnetic fields.

to appear in the Proceedings of the 'Spectral Days' conference, Santiago de Chile 2010

References in corpus (2)

• Twisted Crossed Products and Magnetic Pseudodifferential Operators
• On the smoothness of gap boundaries for generalized Harper operators

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• Spectral estimates of dynamically-defined and amenable operator families
• Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field
• Continuity of the spectra for families of magnetic operators on Z^d
• On the Verdet constant and Faraday rotation for graphene-like materials