{
  "annotation_id": "476e7939-3696-464e-8c28-10d7847c5ee0",
  "date_created": "2026-03-02T18:02:06.079000Z",
  "date_modified": "2026-03-02T18:02:06.079000Z",
  "file_hash": "0ad2e216a8af2b0b1d33fada8f3acfe5186aeca58131dbb2431ca4f33e09471a",
  "private": false,
  "record": {
    "abstract": "We show here that besides the well known Hermite polynomials, the q-deformed\nharmonic oscillator algebra admits another function space associated to a\nparticular family of q-polynomials, namely the Rogers-Szego polynomials. Their\nmain properties are presented, the associated Wigner function is calculated and\nits properties are discussed. It is shown that the angle probability density\nobtained from the Wigner function is a well-behaved function defined in the\ninterval [-Pi,Pi), while the action probability only assumes integer values\ngreater or equal than zero. It is emphasized the fact that the width of the\nangle probability density is governed by the free parameter q characterizing\nthe polynomial.",
    "arxiv_id": "quant-ph/0404074",
    "authors": [
      "D. Galetti",
      "S. S. Mizrahi",
      "M. Ruzzi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/50/L01",
    "title": "The Wigner function associated to the Rogers-Szego polynomials",
    "url": "https://arxiv.org/abs/quant-ph/0404074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca03cf04-0099-4359-9ffd-4d8ba8dc1800",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}