{
  "annotation_id": "94d02cb4-13cf-41b5-b330-c8fe129c97db",
  "date_created": "2026-03-02T18:01:42.689000Z",
  "date_modified": "2026-03-02T18:01:42.689000Z",
  "file_hash": "21818da72532981125a5d66f20687363bbf4bbbf5fe1dccb1a3a79b0f9b51cd3",
  "private": false,
  "record": {
    "abstract": "The symmetrized product for quantum mechanical observables is defined. It is\nseen as consisting of the ordinary multiplication and the application of the\nsuperoperator that orders the operators of coordinate and momentum. This\nsuperoperator is defined in a way that allows obstruction free quantization\nwhen the observables are considered from the point of view of the algebra.\nThen, the operatorial version of the Poisson bracket is defined. It is shown\nthat it has all properties of the Lie bracket and that it can substitute the\ncommutator in the von Neumann equation.",
    "arxiv_id": "quant-ph/0103046",
    "authors": [
      "S. Prvanovic",
      "Z. Maric"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Theory of hybrid systems. II. The symmetrized product and redefined Lie   bracket of quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0103046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7af84b4d-9185-4868-ab18-6e1b3335ebd7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}