{
  "annotation_id": "141c4bc4-ab97-41da-ae76-8263d08b69a6",
  "date_created": "2026-03-02T18:02:41.292000Z",
  "date_modified": "2026-03-02T18:02:41.292000Z",
  "file_hash": "cc80d5b09b6b247bf55bfd7698a4ebc637d545ce35746fdde2cb0ada3da89e26",
  "private": false,
  "record": {
    "abstract": "The q-deformation of harmonic oscillators is shown to lead to q-nonlinear\nvibrations. The examples of q-nonlinearized wave equation and Schr\\\"odinger\nequation are considered. The procedure is generalized to broader class of\nnonlinearities related to other types of deformations. The nonlinear\nnoncanonical transforms used in the deformation procedure are shown to preserve\nin some cases the linear dynamical equations, for instance, for the harmonic\noscillators. The nonlinear coherent states and some physical aspects of the\ndeformations are reviewed.",
    "arxiv_id": "quant-ph/9703020",
    "authors": [
      "V. I. Man\u0027ko",
      "G. Marmo",
      "F. Zaccaria"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Rend.Sem.Mat.Univ.Politec.Torino 54 (1996) 337-352",
    "title": "Deformations and Nonlinear Systems",
    "url": "https://arxiv.org/abs/quant-ph/9703020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6641492e-370b-4bf2-993d-cd9f48c5b82f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}