{
  "annotation_id": "e0dc2833-8805-44ad-833c-351745c86c3f",
  "date_created": "2026-03-02T18:01:39.253000Z",
  "date_modified": "2026-03-02T18:01:39.253000Z",
  "file_hash": "0ba62a7fef1a880f08414b60d20eafcd1d50041ced4d3f62caa539ba52766db1",
  "private": false,
  "record": {
    "abstract": "We investigate the possibility that the semiclassical limit of quantum\nmechanics might be correctly described by a classical dynamical theory, other\nthan standard classical mechanics. Using a set of classicality criteria\nproposed in a related paper, we show that the time evolution of a set of\nquantum initial data satisfying these criteria is fully consistent with the\npredictions of a new theory of classical dynamics. The dynamical structure of\nthe new theory is given by the Moyal bracket. This is a Lie bracket that was\nfirst derived as the dynamical structure of the Moyal-Weyl-Wigner formulation\nof quantum mechanics. We present a new derivation of the Moyal bracket, this\ntime in the context of the semiclassical limit of quantum mechanics and thus\nprove that both classical and quantum dynamics can be formulated in terms of\nthe same canonical structure.",
    "arxiv_id": "quant-ph/0003005",
    "authors": [
      "Nuno Costa Dias",
      "Joao Nuno Prata"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Symmetric Classical Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0003005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82247995-0379-4c4e-89b7-bb9423dc110f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}