{
  "annotation_id": "61d93d53-7953-4e4e-8e55-d657a316f0f7",
  "date_created": "2026-03-02T18:01:35.760000Z",
  "date_modified": "2026-03-02T18:01:35.760000Z",
  "file_hash": "3736644a4b874621f8ba0a7a9389747a08e27b6efe151eb084bcef5bc091f7ee",
  "private": false,
  "record": {
    "abstract": "It is shown that the series derived by Mizrahi, giving the Husimi transform\n(or covariant symbol) of an operator product, is absolutely convergent for a\nlarge class of operators. In particular, the generalized Liouville equation,\ndescribing the time evolution of the Husimi function, is absolutely convergent\nfor a large class of Hamiltonians. By contrast, the series derived by\nGroenewold, giving the Weyl transform of an operator product, is often only\nasymptotic, or even undefined. The result is used to derive an alternative way\nof expressing expectation values in terms of the Husimi function. The advantage\nof this formula is that it applies in many of the cases where the anti-Husimi\ntransform (or contravariant symbol) is so highly singular that it fails to\nexist as a tempered distribution.",
    "arxiv_id": "quant-ph/0001103",
    "authors": [
      "D. M. Appleby"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/21/304",
    "journal_ref": "J.Phys.A 33 (2000) 3903-3915",
    "title": "Husimi Transform of an Operator Product",
    "url": "https://arxiv.org/abs/quant-ph/0001103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9cb9d2d9-024b-48a1-be15-b22d5e183a62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}