{
  "annotation_id": "68280b50-a8f6-4a89-8464-f232b2342c14",
  "date_created": "2026-03-02T18:02:45.022000Z",
  "date_modified": "2026-03-02T18:02:45.022000Z",
  "file_hash": "8bacbf3dd73dc333f764164c40339abd4f0d75b1692c98ea92c5e01459977b7b",
  "private": false,
  "record": {
    "abstract": "It is shown that, while Wigner and Liouville functions transform in an\nidentical way under linear symplectic maps, in general they do not transform\nidentically for nonlinear symplectic maps. Instead there are ``quantum\ncorrections\u0027\u0027 whose hbar tending to zero limit may be very complicated.\nExamples of the behavior of Wigner functions in this limit are given in order\nto examine to what extent the corresponding Liouville densities are recovered.",
    "arxiv_id": "quant-ph/9806056",
    "authors": [
      "Alex J. Dragt",
      "Salman Habib"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "How Wigner Functions Transform Under Symplectic Maps",
    "url": "https://arxiv.org/abs/quant-ph/9806056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd0d651b-2907-4406-aa91-59ad8e5562a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}