{
  "id": "math/0312429",
  "version": "v2",
  "published": "2003-12-23T12:14:58.000Z",
  "updated": "2004-01-16T14:53:31.000Z",
  "title": "Integrability of the n-centre problem at high energies",
  "authors": [
    "A. Knauf",
    "I. A. Taimanov"
  ],
  "comment": "4 pages",
  "journal": "Doklady Math. 70 (2004), 502--503",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "It is shown that for generic configuration of the centres at high energy levels the n-centre problem is completely integrable by using $C^\\infty$ integrals of the motion however it is not integrable in terms of real analytic functions",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-01-16T14:53:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "n-centre problem",
      "integrability",
      "high energy levels",
      "real analytic functions",
      "generic configuration"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12429K"
    }
  }
}