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

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

2012-02-27

arxiv.org/abs/1202.5982v1

Mathematics

Spectral Theory

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

Scientific paper

We study the regularity properties of the Hausdorff distance between spectra
of continuous Harper-like operators. As a special case we obtain H\"{o}lder
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.

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