{
  "id": "1005.4943",
  "version": "v1",
  "published": "2010-05-26T20:44:57.000Z",
  "updated": "2010-05-26T20:44:57.000Z",
  "title": "Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications",
  "authors": [
    "Vincent Duchêne",
    "Jeremy L. Marzuola",
    "Michael I. Weinstein"
  ],
  "comment": "16 pages, 0 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Boundedness of wave operators for Schr\\\"odinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-26T20:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35P25",
      "35B25",
      "03.65.Ge"
    ],
    "keywords": [
      "wave operator bounds",
      "singular potentials",
      "schrödinger operators",
      "applications",
      "dirac delta distributions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3525977",
      "journal": "Journal of Mathematical Physics",
      "year": 2011,
      "month": "Jan",
      "volume": 52,
      "number": 1,
      "pages": 3505
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JMP....52a3505D"
    }
  }
}