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SUMMARY:Behavior of the spectrum of the periodic Schrodinger operators nea
 r the edges of the gaps - Shterenberg\, R (University of Alabama at Birmin
 gham)
DTSTART:20150624T123000Z
DTEND:20150624T133000Z
UID:TALK59926@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-author: Leonid Parnovski (UCL) \n\nIt is a common belief th
 at generically all edges of the spectrum of periodic Schrodinger operators
  are non-degenerate\, i.e. are attained by a single band function at finit
 ely many points of quasi-momentum and represent a non-degenerate quadratic
  minimum or maximum. We present the construction which shows that all dege
 nerate edges of the spectrum can be made non-degenerate under arbitrary sm
 all perturbation. The corresponding perturbation is found in the class of 
 potentials with larger (but proportional) periods\; thus the final operato
 r is still periodic but the lattice of periods changes.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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