{
  "annotation_id": "0c00651c-bba8-47c4-98b5-9fda1325aac1",
  "date_created": "2026-03-02T18:01:55.525000Z",
  "date_modified": "2026-03-02T18:01:55.525000Z",
  "file_hash": "6b10b02b4b72043c60830097e7ef9acf066bcb33cae1c74dcc3f159441124cf0",
  "private": false,
  "record": {
    "abstract": "We present a phase-space representation of the hydrogen atom using the\nKirkwood-Rikaczek distribution function. This distribution allows us to obtain\nanalytical results, which is quite unique because an exact analytical form of\nthe Wigner functions corresponding to the atom states is not known. We show how\nthe Kirkwood-Rihaczek distribution reflects properties of the hydrogen atom\nwave functions in position and momentum representations.",
    "arxiv_id": "quant-ph/0212132",
    "authors": [
      "L. Praxmeyer",
      "K. Wodkiewicz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.054502",
    "journal_ref": "Phys. Rev. A 67, 054502, (2003)",
    "title": "Hydrogen atom in phase space. The Kirkwood-Rihaczek representation",
    "url": "https://arxiv.org/abs/quant-ph/0212132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0bea2d04-c49a-4c6a-a625-c01324837628",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}