Nikolai Filonov (St.Petersburg)
On the structure of the edges of spectral bands of the periodic Schroedinger operator
Abstract:
We consider the multi-dimensional Schroedinger 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.