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.
University of Zurich, UZH