Abstract
We study the regularity properties of the Hausdorff distance between spectra of continuous Harper-like operators.A s 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.
Mathematics Subject Classification (2000). 81Q10, 47G10, 47G30.
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Cornean, H.D., Purice, R. (2012). On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians. In: Benguria, R., Friedman, E., Mantoiu, M. (eds) Spectral Analysis of Quantum Hamiltonians. Operator Theory: Advances and Applications, vol 224. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0414-1_4
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DOI: https://doi.org/10.1007/978-3-0348-0414-1_4
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