Dispersion relations and spectra of periodically perforated structures
Mathematical Physics
2020-07-27 v1 math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2007.12205,
title = {Dispersion relations and spectra of periodically perforated structures},
author = {Peter Kuchment and Jari Taskinen},
journal= {arXiv preprint arXiv:2007.12205},
year = {2020}
}