On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians
arXiv:1202.5982 · doi:10.1007/978-3-0348-0414-1_4
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