{
  "annotation_id": "142b2317-c21b-4739-a824-8048395589a4",
  "date_created": "2026-03-02T18:02:09.548000Z",
  "date_modified": "2026-03-02T18:02:09.548000Z",
  "file_hash": "20ab92b0d454a2bedec2e090a044004429f9a0617fcdfa2ccc76c827378bf1d5",
  "private": false,
  "record": {
    "abstract": "The Wigner function of quantum systems is an effective instrument to\nconstruct the approximate classical description of the systems for which the\nclassical approximation is possible. During the last time, the Wigner function\nformalism is applied as well to seek indications of specific quantum properties\nof quantum systems leading to impossibility of the classical approximation\nconstruction. Most of all, as such an indication the existence of negative\nvalues in Wigner function for specific states of the quantum system being\nstudied is used. The existence of such values itself prejudices the\nprobabilistic interpretation of the Wigner function, though for an arbitrary\nobservable depending jointly on the coordinate and the momentum of the quantum\nsystem just the Wigner function gives an effective instrument to calculate the\naverage value and the other statistical characteristics.\n  In this paper probabilistic interpretation of the Wigner function based on\ncoordination of theoretical-probabilistic definition of the probability\ndensity, with restrictions to a physically small domain of phase space due to\nthe uncertainty principle, is proposed.",
    "arxiv_id": "quant-ph/0406238",
    "authors": [
      "Constantin V. Usenko"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1134/1.2055935",
    "title": "Probabilistic aspects of Wigner function",
    "url": "https://arxiv.org/abs/quant-ph/0406238"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "239ed99b-4a61-4614-a8df-87ed0dfbfd4c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}