{
  "id": "1009.4746",
  "version": "v1",
  "published": "2010-09-24T01:06:20.000Z",
  "updated": "2010-09-24T01:06:20.000Z",
  "title": "On the wave operators and Levinson's theorem for potential scattering in R^3",
  "authors": [
    "J. Kellendonk",
    "S. Richard"
  ],
  "comment": "19 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The paper is a presentation of recent investigations on potential scattering in R^3. We advocate a new formula for the wave operators and deduce the various outcomes that follow from this formula. A topological version of Levinson's theorem is proposed by interpreting it as an index theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-24T01:06:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "levinsons theorem",
      "wave operators",
      "potential scattering",
      "index theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.4746K"
    }
  }
}