{
  "annotation_id": "724d502b-fd65-4635-84fc-ce7c914d0916",
  "date_created": "2026-03-02T18:01:53.100000Z",
  "date_modified": "2026-03-02T18:01:53.100000Z",
  "file_hash": "54038dad917aadde70fbff4934c893c17ffce0cc88cb3573b52a5e90dc16777c",
  "private": false,
  "record": {
    "abstract": "We study algebraic structures underlying \u0027t Hooft\u0027s construction relating\nclassical systems with the quantum harmonic oscillator. The role of group\ncontraction is discussed. We propose the use of SU(1,1) for two reasons:\nbecause of the isomorphism between its representation Hilbert space and that of\nthe harmonic oscillator and because zero point energy is implied by the\nrepresentation structure. Finally, we also comment on the relation between\ndissipation and quantization.",
    "arxiv_id": "quant-ph/0208012",
    "authors": [
      "M. Blasone",
      "E. Celeghini",
      "P. Jizba",
      "G. Vitiello"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0375-9601(03)00374-8",
    "journal_ref": "Phys.Lett. A310 (2003) 393-399",
    "title": "Quantization, group contraction and zero point energy",
    "url": "https://arxiv.org/abs/quant-ph/0208012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6c69f44a-dd9b-4008-99c3-2be79f450ff3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}