{
  "annotation_id": "85d7246c-75d7-4921-a4de-2ec869e69970",
  "date_created": "2026-03-02T18:02:17.052000Z",
  "date_modified": "2026-03-02T18:02:17.052000Z",
  "file_hash": "7995a8dd7ea1999a0b4a8fe6938ddc731fb7e93bdb200706e01aee0aebb4c56c",
  "private": false,
  "record": {
    "abstract": "We discuss questions pertaining to the definition of `momentum\u0027, `momentum\nspace\u0027, `phase space\u0027, and `Wigner distributions\u0027; for finite dimensional\nquantum systems. For such systems, where traditional concepts of `momenta\u0027\nestablished for continuum situations offer little help, we propose a physically\nreasonable and mathematically tangible definition and use it for the purpose of\nsetting up Wigner distributions in a purely algebraic manner. It is found that\nthe point of view adopted here is limited to odd dimensional systems only. The\nmathematical reasons which force this situation are examined in detail.",
    "arxiv_id": "quant-ph/0507094",
    "authors": [
      "S. Chaturvedi",
      "E. Ercolessi",
      "G. Marmo",
      "G. Morandi",
      "N. Mukunda",
      "R. Simon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02705275",
    "journal_ref": "Pramana 65 (2005) 981-993",
    "title": "Wigner distributions for finite dimensional quantum systems: An   algebraic approach",
    "url": "https://arxiv.org/abs/quant-ph/0507094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2be95374-bb78-4eb3-b5d9-7e00bb5be423",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}