{
  "annotation_id": "2715a1e7-fa43-469f-8134-68343bc4d99e",
  "date_created": "2026-03-02T18:02:16.366000Z",
  "date_modified": "2026-03-02T18:02:16.366000Z",
  "file_hash": "45e64e3a0097ada9d43717ea5df696a8f55abcdbdd67f7ea08bb51a3b7e3563e",
  "private": false,
  "record": {
    "abstract": "We have found an effective method of calculating the Wigner function, being a\nquantum analogue of joint probability distribution of position and momentum,\nfor bound states of nonrelativistic hydrogen atom. The formal similarity\nbetween the eigenfunctions of nonrelativistic hydrogen atom in the momentum\nrepresentation and Klein-Gordon propagators has allowed the calculation of the\nWigner function for an arbitrary bound state of the hydrogen atom. These Wigner\nfunctions for some low lying states are depicted and discussed.",
    "arxiv_id": "quant-ph/0504038",
    "authors": [
      "L. Praxmeyer",
      "J. Mostowski",
      "K. Wodkiewicz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/45/022",
    "journal_ref": "Journal of Physics A 39, 14143, (2006)",
    "title": "Hydrogen atom in phase space: The Wigner representation",
    "url": "https://arxiv.org/abs/quant-ph/0504038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "17b20f5f-0da1-4776-adeb-c3e4ff0d310e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}