{
  "annotation_id": "7a8df237-3c3a-45e5-b05c-45c6f73c516f",
  "date_created": "2026-03-02T18:02:38.131000Z",
  "date_modified": "2026-03-02T18:02:38.131000Z",
  "file_hash": "e15def8e2185e2dda024341d10c8c6febefd10e96e3614ef7eaf45d9fc0e58e3",
  "private": false,
  "record": {
    "abstract": "The notion of f-oscillators generalizing q-oscillators is introduced. For\nclassical and quantum cases, an interpretation of the f-oscillator is provided\nas corresponding to a special nonlinearity of vibration for which the frequency\nof oscillation depends on the energy. The f-coherent states (nonlinear coherent\nstates) generalizing q-coherent states are constructed. Applied to quantum\noptics, photon distribution function, photon number means, and dispersions are\ncalculated for the f-coherent states as well as the Wigner function and\nQ-function. As an example, it is shown how this nonlinearity may affect the\nPlanck distribution formula.",
    "arxiv_id": "quant-ph/9612006",
    "authors": [
      "V. I. Man\u0027ko",
      "G. Marmo",
      "E. C. G. Sudarshan",
      "F. Zaccaria"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0031-8949/55/5/004",
    "journal_ref": "Phys.Scripta55:528,1997",
    "title": "f-Oscillators and Nonlinear Coherent States",
    "url": "https://arxiv.org/abs/quant-ph/9612006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c5200b17-5c9b-43be-842d-4b7e9c8a62b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}