{
  "id": "0712.3371",
  "version": "v2",
  "published": "2007-12-20T11:21:20.000Z",
  "updated": "2009-03-25T10:53:10.000Z",
  "title": "Twisting versus bending in quantum waveguides",
  "authors": [
    "David Krejcirik"
  ],
  "comment": "20 pages, LaTeX with 3 EPS figures. This is a corrected version of the published paper; errata in Section 6 corrected",
  "journal": "Proc. Sympos. Pure Math., vol. 77, pp. 617-636, Amer. Math. Soc., Providence, RI, 2008",
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We make an overview of spectral-geometric effects of twisting and bending in quantum waveguides modelled by the Dirichlet Laplacian in an unbounded three-dimensional tube of uniform cross-section. We focus on the existence of Hardy-type inequalities in twisted tubes of non-circular cross-section.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-25T10:53:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hardy-type inequalities",
      "spectral-geometric effects",
      "uniform cross-section",
      "dirichlet laplacian",
      "non-circular cross-section"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3371K"
    }
  }
}