Seminar

Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings

Spectral Methods in Mathematical Physics

19 February 14:00 - 15:00

Victor Ivrii - University of Toronto

Under certain assumptions we derive a complete semiclassical asymptotics of a spectral function of the constant coefficient scalar operator perturbed by almost periodic “smaller” operator. In particular, a complete semiclassical asymptotics of the integrated density of states also holds. Under similar assumptions for periodic perturbations Bethe-Sommerfeld conjecture in semiclassical settings holds.
Organizers
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich

Program
Contact

Rupert Frank

frank@math.lmu.de

Other
information

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