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

Nikolai Filonov
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.

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