{
  "id": "0907.4465",
  "version": "v1",
  "published": "2009-07-26T09:00:23.000Z",
  "updated": "2009-07-26T09:00:23.000Z",
  "title": "Lower bound on the density of states for periodic Schrödinger operators",
  "authors": [
    "Sergey Morozov",
    "Leonid Parnovski",
    "Irina Pchelintseva"
  ],
  "journal": "Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). AMS Translations - Series 2 (231), Advances in the Mathematical Sciences, 161-172, 2010",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider Schr\\\"odinger operators with smooth periodic potentials in Euclidean spaces of dimension bigger than 1 and prove a uniform lower bound on the density of states for large values of the spectral parameter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-26T09:00:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P20",
      "35P15",
      "35J10"
    ],
    "keywords": [
      "periodic schrödinger operators",
      "smooth periodic potentials",
      "uniform lower bound",
      "spectral parameter",
      "euclidean spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.4465M"
    }
  }
}