{
  "annotation_id": "48d6ce5c-2705-496c-b507-5a70373c11ac",
  "date_created": "2026-03-02T18:02:47.996000Z",
  "date_modified": "2026-03-02T18:02:47.996000Z",
  "file_hash": "1a1b5d4cd9785709a9d1d51cbbdb7bc4139fd06050fb9026ac6a7e71a577c0a7",
  "private": false,
  "record": {
    "abstract": "A general dynamical system composed by two coupled sectors is considered. The\ninitial time configuration of one of these sectors is described by a set of\nclassical data while the other is described by standard quantum data. These\ndynamical systems will be named half quantum. The aim of this paper is to\nderive the dynamical evolution of a general half quantum system from its full\nquantum formulation. The standard approach would be to use quantum mechanics to\nmake predictions for the time evolution of the half quantum initial data. The\nmain problem is how can quantum mechanics be applied to a dynamical system\nwhose initial time configuration is not described by a set of fully quantum\ndata. A solution to this problem is presented and used, as a guideline to\nobtain a general formulation of coupled classical-quantum dynamics. Finally, a\nquantization prescription mapping a given classical theory to the correspondent\nhalf quantum one is presented.",
    "arxiv_id": "quant-ph/9912071",
    "authors": [
      "Nuno Costa Dias"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/4/306",
    "journal_ref": "J. Phys. A:Math. Gen. 34 (2001) 771-791",
    "title": "Half Quantization",
    "url": "https://arxiv.org/abs/quant-ph/9912071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f42404e4-4401-42fd-9bf6-55f0b18b86f4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}