On the structure of the edges of spectral bands of the periodic Schrödinger operator

Nikolai Filonov
Salle
Rennes
Date et heure
-
Conference - DimaScat : Scattering Theory and Spectral Asymptotics of Differential Operators - in Honour of Dimitri Yafaev

We consider the multi-dimensional Schrödinger operator with a bounded periodic potential. We show that in the 2D case the corresponding band functions can attain their extrema only at a finite number of points.

This is a joint work with I. Kachkovskiy.

Your browser does not support the video tag.
Fichier attaché Taille
filonov.mp4 396.72 Mo