{
  "id": "2007.12205",
  "version": "v1",
  "published": "2020-07-23T18:28:21.000Z",
  "updated": "2020-07-23T18:28:21.000Z",
  "title": "Dispersion relations and spectra of periodically perforated structures",
  "authors": [
    "Peter Kuchment",
    "Jari Taskinen"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-23T18:28:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "47F99",
      "81Q10"
    ],
    "keywords": [
      "dispersion relation",
      "periodically perforated structures",
      "analytic dependece",
      "establish absolute continuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}