{
  "annotation_id": "03872b1d-282d-4ddb-a834-21f90301c290",
  "date_created": "2026-03-02T18:02:10.011000Z",
  "date_modified": "2026-03-02T18:02:10.011000Z",
  "file_hash": "60494d2b9f9e36e703f3e4d19dcb44a85108e09299d5d64feeb2a50a080eabf4",
  "private": false,
  "record": {
    "abstract": "The Wigner-Weyl isomorphism for quantum mechanics on a compact simple Lie\ngroup $G$ is developed in detail. Several New features are shown to arise which\nhave no counterparts in the familiar Cartesian case. Notable among these is the\nnotion of a `semiquantised phase space\u0027, a structure on which the Weyl symbols\nof operators turn out to be naturally defined and, figuratively speaking,\nlocated midway between the classical phase space $T^*G$ and the Hilbert space\nof square integrable functions on $G$. General expressions for the star product\nfor Weyl symbols are presented and explicitly worked out for the angle-angular\nmomentum case.",
    "arxiv_id": "quant-ph/0407257",
    "authors": [
      "N. Mukunda",
      "G. Marmo",
      "Alessandro Zampini",
      "S. Chaturvedi",
      "R. Simon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1825078",
    "journal_ref": "J.Math.Phys. 46 (2005) 012106",
    "title": "Wigner-Weyl isomorphism for quantum mechanics on Lie groups",
    "url": "https://arxiv.org/abs/quant-ph/0407257"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c4b90203-b258-4503-a820-6c40e9e72274",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}