{
  "annotation_id": "3dd12650-f901-4b8e-96e2-ff3142d3ca28",
  "date_created": "2026-03-02T18:02:10.284000Z",
  "date_modified": "2026-03-02T18:02:10.284000Z",
  "file_hash": "dffdad4f7d671aabd28d847159a31f406ae07e5f6f5193b6722cad949911e451",
  "private": false,
  "record": {
    "abstract": "A basic introduction to the $su(1,1)$ algebra is presented, in which we\ndiscuss the relation with canonical transformations, the realization in terms\nof quantized radiation field modes and coherent states. Instead of going into\ndetails of these topics, we rather emphasize the existing connections between\nthem. We discuss two parametrizations of the coherent states manifold\n$SU(1,1)/U(1)$: as the Poincar{\\\u0027e} disk in the complex plane and as the\npseudosphere (a sphere in a Minkowskian space), and show that it is a natural\nphase space for quantum systems with SU(1,1) symmetry.",
    "arxiv_id": "quant-ph/0407092",
    "authors": [
      "Marcel Novaes"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Some basics of $su(1,1)$",
    "url": "https://arxiv.org/abs/quant-ph/0407092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3083fefa-3151-45aa-9273-b38af058229f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}