{
  "id": "1211.0344",
  "version": "v2",
  "published": "2012-11-02T01:27:45.000Z",
  "updated": "2013-09-03T10:15:05.000Z",
  "title": "Monotonicity of the polaron energy",
  "authors": [
    "Tadahiro Miyao"
  ],
  "comment": "20 pages, Sec.1 rewritten",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In condensed matter physics, the polaron has been fascinating subject. It is described by the Hamiltonian of H. Fr\\\"ohlich. In this paper, the Fr\\\"ohlich Hamiltonian is investigated from a viewpoint of the self-dual cone analysis proposed in Miyao (2011). This point of view clarifies the monotonicity of polaron energy, i.e., denoting the lowest energy of the Fr\\\"ohlich Hamiltonian with the ultraviolet cutoff $\\Lambda$ by $E_{\\Lambda}$, we prove $E_{\\Lambda}>E_{\\Lambda'}$ for $\\Lambda<\\Lambda'$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-03T10:15:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polaron energy",
      "monotonicity",
      "self-dual cone analysis",
      "hamiltonian",
      "lowest energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.0344M"
    }
  }
}