{
  "annotation_id": "8d29c939-4ed8-4d8e-8ee5-435ab75b8c7f",
  "date_created": "2026-03-02T18:02:20.697000Z",
  "date_modified": "2026-03-02T18:02:20.697000Z",
  "file_hash": "aa5f3510501cf02b77eb80b3de06297d0bd36835cb771b17ced7b63b8691a466",
  "private": false,
  "record": {
    "abstract": "In this paper we study the symmetry known as mechanical similarity (LMS) and\npresent for any monomial potential. We analyze it in the framework of the\nKoopman-von Neumann formulation of classical mechanics and prove that in this\nframework the LMS can be given a canonical implementation. We also show that\nthe LMS is a generalization of the scale symmetry which is present only for the\ninverse square potential. Finally we study the main obstructions which one\nencounters in implementing the LMS at the quantum mechanical level.",
    "arxiv_id": "quant-ph/0508199",
    "authors": [
      "E. Gozzi",
      "D. Mauro"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/39/13/018",
    "journal_ref": "J.Phys.A39:3411-3424,2006",
    "title": "Mechanical similarity as a generalization of scale symmetry",
    "url": "https://arxiv.org/abs/quant-ph/0508199"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3380616-5125-425b-95e5-0bfdb904dc0f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}