{
  "annotation_id": "210c30d6-8e5b-4f11-b730-e96094479426",
  "date_created": "2026-03-02T18:02:20.550000Z",
  "date_modified": "2026-03-02T18:02:20.550000Z",
  "file_hash": "b638caafb45cbf39a478ce7a05e9389a7f70fd06cee456d86d363dea245f4222",
  "private": false,
  "record": {
    "abstract": "We present a dequantization procedure based on a variational approach whereby\nquantum fluctuations latent in the quantum momentum are suppressed. This is\ndone by adding generic local deformations to the quantum momentum operator\nwhich give rise to a deformed kinetic term quantifying the amount of\n``fuzzyness\u0027\u0027 caused by such fluctuations. Considered as a functional of such\ndeformations, the deformed kinetic term is shown to possess a unique minimum\nwhich is seen to be the classical kinetic energy. Furthermore, we show that\nextremization of the associated deformed action functional introduces an\nessential nonlinearity to the resulting field equations which are seen to be\nthe classical Hamilton-Jacobi and continuity equations. Thus, a variational\nprocedure determines the particular deformation that has the effect of\nsuppressing the quantum fluctuations, resulting in dequantization of the\nsystem.",
    "arxiv_id": "quant-ph/0511068",
    "authors": [
      "Ricardo A. Mosna",
      "Ian P. Hamilton",
      "Luigi Delle Site"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/14/L03",
    "journal_ref": "J. Phys. A 39, L229-L235 (2006)",
    "title": "Variational approach to dequantization",
    "url": "https://arxiv.org/abs/quant-ph/0511068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "03600ff1-5e82-48fd-9b42-f3c828e2b52e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}