{
  "id": "1711.10916",
  "version": "v1",
  "published": "2017-11-29T15:29:17.000Z",
  "updated": "2017-11-29T15:29:17.000Z",
  "title": "On the domain of the Nelson Hamiltonian",
  "authors": [
    "Marcel Griesemer",
    "Andreas Wünsch"
  ],
  "comment": "25 pages, no figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Nelson Hamiltonian is unitarily equivalent to a Hamiltonian defined through a closed, semibounded quadratic form, the unitary transformation being explicitly known and due to Gross. In this paper we study mapping properties of the Gross-transform in order to characterize regularity properties of vectors in the form domain of the Nelson Hamiltonian. Since the operator domain is a subset of the form domain, our results apply to vectors in the domain of the Hamiltonian was well. - This work is a continuation of our previous work on the Fr\\\"ohlich Hamiltonian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-29T15:29:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10",
      "81T16"
    ],
    "keywords": [
      "nelson hamiltonian",
      "form domain",
      "study mapping properties",
      "semibounded quadratic form",
      "unitary transformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}