Dispersion relations and spectra of periodically perforated structures Academic Article

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.

authors

• Kuchment, Peter

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

• February 2022

published in

• Pure and Applied Functional Analysis  Journal

keywords

• 35p, 35q40, 47f99, 81q10
• Math-ph
• Math.mp
• Math.sp

start page

• 721

end page

• 731

volume

• 7

issue

• 2