1202.5982 (Horia D. Cornean et al.)

On the regularity of the Hausdorff distance between spectra of perturbed
magnetic Hamiltonians    [PDF]

Horia D. Cornean, Radu Purice

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.

View original: http://arxiv.org/abs/1202.5982