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SUMMARY:Optimal Lieb-Thirring type inequalities for Schrödinger operators
  with complex potentials - Sukrid Petpradittha (Durham University)
DTSTART:20260205T150000Z
DTEND:20260205T151500Z
UID:TALK241570@talks.cam.ac.uk
DESCRIPTION:The purpose of this talk is to present optimal Lieb-Thirring t
 ype inequalities for Schr&ouml\;dinger operators with complex potentials. 
 Lieb-Thirring inequalities for complex potentials bound eigenvalue power s
 ums (Riesz means) by the&nbsp\;Lp norm of the potential\, where in contras
 t to the selfadjoint case\, each summand needs to be weighted by a functio
 n of the ratio of the distance of the eigenvalue to the essential spectrum
  and the distance to the endpoint thereof. These Lieb-Thirring type bounds
  hold only for integrable weight functions. To prove optimality\, the dive
 rgence estimates for non-integrable weight functions are established. The 
 divergence rates exhibit a logarithmic or even polynomial gain compared to
  semiclassical methods (Weyl asymptotics) for real potentials.\nThis is jo
 int work with Sabine Boegli (Durham).
LOCATION:Seminar Room 1\, Newton Institute
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