Peter Kuchment, Jari Taskinen
Published 2020-07-23Version 1
We establish absolute continuity of the spectrum of a periodic Schr\"odiner operator in R^n with periodic perforations. We also prove analytic dependece of the dispersion relation on the shape of the perforation.
A local test for global extrema in the dispersion relation of a periodic graph
Generic properties of dispersion relations for discrete periodic operators
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs
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