{
  "id": "0710.1078",
  "version": "v1",
  "published": "2007-10-04T19:43:07.000Z",
  "updated": "2007-10-04T19:43:07.000Z",
  "title": "Polya's conjecture in the presence of a constant magnetic field",
  "authors": [
    "Rupert L. Frank",
    "Michael Loss",
    "Timo Weidl"
  ],
  "comment": "15 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of finite measure. We determine the sharp constants in semi-classical eigenvalue estimates and show, in particular, that Polya's conjecture is not true in the presence of a magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-04T19:43:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant magnetic field",
      "polyas conjecture",
      "dirichlet laplacian",
      "semi-classical eigenvalue estimates",
      "sharp constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1078F"
    }
  }
}