{
  "id": "0807.2489",
  "version": "v1",
  "published": "2008-07-16T01:33:52.000Z",
  "updated": "2008-07-16T01:33:52.000Z",
  "title": "Non-uniqueness of phase shift in central scattering due to monodromy",
  "authors": [
    "Holger R. Dullin",
    "Holger Waalkens"
  ],
  "comment": "to appear in PRL",
  "journal": "Phys.Rev.Lett.101:070405,2008",
  "doi": "10.1103/PhysRevLett.101.070405",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Scattering at a central potential is completely characterized by the phase shifts which are the differences in phase between outgoing scattered and unscattered partial waves. In this letter it is shown that, for 2D scattering at a repulsive central potential, the phase shift cannot be uniquely defined due to a topological obstruction which is similar to monodromy in bound systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-16T01:33:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Nk",
      "05.45.-a",
      "03.65.Sq",
      "45.05.+x"
    ],
    "keywords": [
      "phase shift",
      "central scattering",
      "non-uniqueness",
      "unscattered partial waves",
      "repulsive central potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Aug",
      "volume": 101,
      "number": 7,
      "pages": "070405"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 800090,
      "adsabs": "2008PhRvL.101g0405D"
    }
  }
}