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On the Lipschitz Continuity of Spectral Bands of Harper-Like and Magnetic Schrödinger Operators

Professor Horia Cornean
(Aalborg)
Analysis Seminar
Thursday, 14 February, 2013, at 16:15, in Aud. D3 (1531-215)
Abstract:
We show for a large class of discrete Harper-like and continuous magnetic Schrödinger operators that their spectral band edges are Lipschitz continuous with respect to the intensity of the external constant magnetic field. We generalize a result obtained by J. Bellissard (Commun Math Phys 160:599–613, 1994), and give examples in favor of a recent conjecture of G. Nenciu.
Contact person: Bent Ørsted