{
  "id": "1903.05070",
  "version": "v1",
  "published": "2019-03-12T17:27:04.000Z",
  "updated": "2019-03-12T17:27:04.000Z",
  "title": "A generalized Noether theorem for scaling symmetry",
  "authors": [
    "P. -M. Zhang",
    "M. Elbistan",
    "P. A. Horvathy",
    "P. Kosinski"
  ],
  "comment": "10 pages, no figures",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The recently discovered conserved quantity associated with Kepler's rescaling [1] is recovered by proving a generalised Noether's theorem. Applied to a free particle we get a two-parameter family of generalized rescaling symmetries, all of whose associated charges reduce however to a single one, namely to the familiar Schr\\\"odinger-dilation-charge. For a harmonic oscillator we get pure position rescaling, and the associated conserved quantity allows us to derive the virial theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-12T17:27:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized noether theorem",
      "scaling symmetry",
      "conserved quantity",
      "virial theorem",
      "pure position"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}