{
  "id": "math-ph/0603004",
  "version": "v2",
  "published": "2006-03-01T10:41:21.000Z",
  "updated": "2006-03-02T11:52:51.000Z",
  "title": "Linear harmonic oscillator in spaces with degenerate metrics",
  "authors": [
    "N. A. Gromov"
  ],
  "comment": "8 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "With the help of contraction method we study the harmonic oscillator in spaces with degenerate metrics, namely, on Galilei plane and in the flat 3D Cayley-Klein spaces $R_3(j_2,j_3).$ It is shown that the inner degrees of freedom are appeared which physical dimensions are different from the dimension of the space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-02T11:52:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear harmonic oscillator",
      "degenerate metrics",
      "flat 3d cayley-klein spaces",
      "inner degrees",
      "galilei plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.ph...3004G"
    }
  }
}