{
  "id": "1112.0413",
  "version": "v1",
  "published": "2011-12-02T09:51:58.000Z",
  "updated": "2011-12-02T09:51:58.000Z",
  "title": "Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state",
  "authors": [
    "Laurent Amour",
    "Jérémy Faupin"
  ],
  "comment": "22 pages, 3 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider a free hydrogen atom composed of a spin-1/2 nucleus and a spin-1/2 electron in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian associated with this system at a fixed total momentum. For small enough values of the fine-structure constant, we prove that the ground state is unique. This result reflects the hyperfine structure of the hydrogen atom ground state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-02T09:51:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V10",
      "81V45",
      "81Q10",
      "81Q15"
    ],
    "keywords": [
      "dressed hydrogen atom ground state",
      "non-relativistic",
      "hyperfine splitting",
      "uniqueness",
      "standard model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-012-1625-6",
      "journal": "Communications in Mathematical Physics",
      "year": 2013,
      "month": "Apr",
      "volume": 319,
      "number": 2,
      "pages": 425
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013CMaPh.319..425A"
    }
  }
}