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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Behavior of the spectrum of the periodic Schrodinger operators near the edges of the gaps
Behavior of the spectrum of the periodic Schrodinger operators near the edges of the gapsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact webseminars. Periodic and Ergodic Spectral Problems Co-author: Leonid Parnovski (UCL) It is a common belief that generically all edges of the spectrum of periodic Schrodinger operators are non-degenerate, i.e. are attained by a single band function at finitely many points of quasi-momentum and represent a non-degenerate quadratic minimum or maximum. We present the construction which shows that all degenerate edges of the spectrum can be made non-degenerate under arbitrary small perturbation. The corresponding perturbation is found in the class of potentials with larger (but proportional) periods; thus the final operator is still periodic but the lattice of periods changes. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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