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Dispersion relations and spectra of periodically perforated structures

80   0   0.0 ( 0 )
 Added by Peter Kuchment
 Publication date 2020
  fields Physics
and research's language is English




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We establish absolute continuity of the spectrum of a periodic Schrodiner operator in R^n with periodic perforations. We also prove analytic dependece of the dispersion relation on the shape of the perforation.

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