{
  "annotation_id": "0b221c85-87a6-4ba1-8c58-5dc84847b527",
  "date_created": "2026-03-02T18:02:47.369000Z",
  "date_modified": "2026-03-02T18:02:47.369000Z",
  "file_hash": "a629a759d83e41231efae7512b9256c63f16277b19032cb52ec1a474b6f9ccd8",
  "private": false,
  "record": {
    "abstract": "The algebra of generalized linear quantum canonical transformations is\nexamined in the prespective of Schwinger\u0027s unitary-canonical basis. Formulation\nof the quantum phase problem within the theory of quantum canonical\ntransformations and in particular with the generalized quantum action-angle\nphase space formalism is established and it is shown that the conceptual\nfoundation of the quantum phase problem lies within the algebraic properties of\nthe quantum canonical transformations in the quantum phase space. The\nrepresentations of the Wigner function in the generalized action-angle unitary\noperator pair for certain Hamiltonian systems with the dynamical symmetry are\nexamined. This generalized canonical formalism is applied to the quantum\nharmonic oscillator to examine the properties of the unitary quantum phase\noperator as well as the action-angle Wigner function.",
    "arxiv_id": "quant-ph/9906083",
    "authors": [
      "T. Hakioglu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/22/312",
    "journal_ref": "J.Phys.A32:4111-4130,1999",
    "title": "Linear canonical transformations and quantum phase:a unified canonical   and algebraic approach",
    "url": "https://arxiv.org/abs/quant-ph/9906083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f41b133-a305-4c8c-810f-025809500aac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}