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SUMMARY:Uncertainty relations and Wegner estimates for random breather pot
 entials - Veselic\, I (Technische Universitt Chemnitz)
DTSTART:20150323T113000Z
DTEND:20150323T123000Z
UID:TALK58522@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Ivica Nakic (Zagreb University)\, Matthias Tufer (
 TU Chemnitz)\, Martin Tautenhahn (TU Chemnitz) \n\nWe present a new scale-
 free\, quantitative unique continuation estimate for Schroedinger operator
 s in multidimensional space. Depending on the context such estimates are s
 ometimes called uncertainty relations\, observations inequalities or spect
 ral inequalities. To illustrate its power we prove a Wegner estimate for S
 chroedinger operators with random breather potentials. Here we encounter a
  non-linear dependence on the random coupling constants\, preventing the u
 se of standard perturbation theory. The proofs rely on an analysis of the 
 level sets of the random potential\, and can be extended to a rather gener
 al framework.\n
LOCATION:Seminar Room 1\, Newton Institute
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