Dispersion relations and spectra of periodically perforated structures Academic Article uri icon

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.

published proceedings

  • Pure and applied functional analysis

author list (cited authors)

  • Kuchment, P., & Taskinen, J.

complete list of authors

  • Kuchment, Peter||Taskinen, Jari

publication date

  • July 2020