{
  "id": "0908.4289",
  "version": "v1",
  "published": "2009-08-28T20:52:43.000Z",
  "updated": "2009-08-28T20:52:43.000Z",
  "title": "An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics",
  "authors": [
    "Sergey A. Denisov"
  ],
  "comment": "This is a preprint of an article whose final and definitive form has been published in Comm. Partial Differential Equations, available online at http://www.informaworld.com",
  "journal": "Communications in Partial Differential Equations, Volume 33, Issue 2, 2008, pages 307 - 319",
  "doi": "10.1080/03605300701249655",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider 3d Schrodinger operator with long-range potential that has short-range radial derivative. The long-time asymptotics of non-stationary problem is studied and existence of modified wave operators is proved. It turns out, the standard WKB correction should be replaced by the solution to certain evolution equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-28T20:52:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40"
    ],
    "keywords": [
      "evolution equation",
      "long-time asymptotics",
      "schrodinger dynamics",
      "standard wkb correction",
      "3d schrodinger operator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.4289D"
    }
  }
}