{
  "annotation_id": "279d2ee4-de4c-41aa-9d4b-b2a72757b9b5",
  "date_created": "2026-03-02T18:02:27.287000Z",
  "date_modified": "2026-03-02T18:02:27.287000Z",
  "file_hash": "7f0cc9d0bb86d8f567c4fcc776a7ac2e66f9de99a55402dcb2924de6a7e8f158",
  "private": false,
  "record": {
    "abstract": "On the basis of the non-commutative q-calculus, we investigate a\nq-deformation of the classical Poisson bracket in order to formulate a\ngeneralized q-deformed dynamics in the classical regime. The obtained\nq-deformed Poisson bracket appears invariant under the action of the\nq-symplectic group of transformations. In this framework we introduce the\nq-deformed Hamilton\u0027s equations and we derive the evolution equation for some\nsimple q-deformed mechanical systems governed by a scalar potential dependent\nonly on the coordinate variable. It appears that the q-deformed Hamiltonian,\nwhich is the generator of the equation of motion, is generally not conserved in\ntime but, in correspondence, a new constant of motion is generated. Finally, by\nfollowing the standard canonical quantization rule, we compare the well known\nq-deformed Heisenberg algebra with the algebra generated by the q-deformed\nPoisson bracket.",
    "arxiv_id": "quant-ph/0605026",
    "authors": [
      "A. Lavagno",
      "A. M. Scarfone",
      "P. Narayana Swamy"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1140/epjc/s2006-02557-y",
    "journal_ref": "Eur.Phys.J.C47:253-261,2006",
    "title": "Classical and quantum q-deformed physical systems",
    "url": "https://arxiv.org/abs/quant-ph/0605026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "856f3cb5-b1b7-4607-b080-2c06d0625fb6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}