{
  "id": "1210.0143",
  "version": "v1",
  "published": "2012-09-29T18:57:59.000Z",
  "updated": "2012-09-29T18:57:59.000Z",
  "title": "New expressions for the wave operators of Schroedinger operators in R^3",
  "authors": [
    "S. Richard",
    "R. Tiedra de Aldecoa"
  ],
  "comment": "11 pages",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We prove new and explicit formulas for the wave operators of Schroedinger operators in R^3. These formulas put into light the very special role played by the generator of dilations and validate the topological approach of Levinson's theorem introduced in a previous publication. Our results hold for general (not spherically symmetric) potentials decaying fast enough at infinity, without any assumption on the absence of eigenvalue or resonance at 0-energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-29T18:57:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schroedinger operators",
      "wave operators",
      "expressions",
      "potentials decaying fast",
      "explicit formulas"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-013-0636-3",
      "journal": "Letters in Mathematical Physics",
      "year": 2013,
      "month": "Nov",
      "volume": 103,
      "number": 11,
      "pages": 1207
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013LMaPh.103.1207R"
    }
  }
}