{
  "id": "math-ph/0509002",
  "version": "v6",
  "published": "2005-09-02T03:32:56.000Z",
  "updated": "2008-03-14T05:40:44.000Z",
  "title": "A Generalization of the Kepler Problem",
  "authors": [
    "Guowu Meng"
  ],
  "comment": "The final version. To appear in J. Yadernaya fizika",
  "journal": "Physics of Atomic Nuclei (J. Yadernaya fizika), Vol. 71 (2008), 946-950",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We construct and analyze a generalization of the Kepler problem. These generalized Kepler problems are parameterized by a triple $(D, \\kappa, \\mu)$ where the dimension $D\\ge 3$ is an integer, the curvature $\\kappa$ is a real number, the magnetic charge $\\mu$ is a half integer if $D$ is odd and is 0 or 1/2 if $D$ is even. The key to construct these generalized Kepler problems is the observation that the Young powers of the fundamental spinors on a punctured space with cylindrical metric are the right analogues of the Dirac monopoles.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2008-03-14T05:40:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization",
      "generalized kepler problems",
      "half integer",
      "right analogues",
      "fundamental spinors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1134/S1063778808050256"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 694437
    }
  }
}