{
  "annotation_id": "ab2e630a-8d65-4f9a-8555-7600e834a620",
  "date_created": "2026-03-02T18:01:52.875000Z",
  "date_modified": "2026-03-02T18:01:52.875000Z",
  "file_hash": "24e4fe37e8645280f8d0ef53c46655d6acfda3d3b8f86c4a0adeab2e9b42d0d5",
  "private": false,
  "record": {
    "abstract": "A general canonical transformation of mechanical operators of position and\nmomentum is considered. It is shown that it automatically generates a parameter\ns which leads to a generalized (or s-parameterized) Wigner function. This\nallows one to derive a generalized (s-parameterized) Moyal brackets for any\ndimensions. In the classical limit the s-parameterized Wigner averages of the\nmomentum and its square yield the respective classical values. Interestingly\nenough,in the latter case the classical Hamilton-Jacobi equation emerges as a\nconsequence of such a transition only if there is a non-zero parameter s.",
    "arxiv_id": "quant-ph/0208055",
    "authors": [
      "Alex Granik"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Generalized (s-Parameterized) Weyl Transformation",
    "url": "https://arxiv.org/abs/quant-ph/0208055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "83469222-255b-434b-8cf2-06e13d228271",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}