{
  "annotation_id": "894bf3fa-f19b-425d-b9d1-02b41b27a908",
  "date_created": "2026-03-02T18:02:40.449000Z",
  "date_modified": "2026-03-02T18:02:40.449000Z",
  "file_hash": "2e14a2fbc4af5b2f02393a95556e906813e8cc8c5e8a10504fdebeff9134bd0e",
  "private": false,
  "record": {
    "abstract": "Motivated by the problems of interpretation of a nonlinear evolution equation\nin quantum mechanics we discuss in this contribution the concept of nonlinear\ngauge transformations, that has recently been introduced in joint work with\nDoebner and Goldin, in the framework of Mielnik\u0027s Generalized Quantum\nMechanics. Using these gauge transformations we construct linear quantum\nsystems in a ``nonlinear disguise\u0027\u0027, and a gauge generalization of these (in\nanalogy to the minimal coupling of orthodox quantum mechanics) leads to a\nunification of Bialynicki-Birula--Mycielski and Doebner--Goldin evolution\nequations for the quantum system. The notion of nonlinear observables\nintroduced by L\\\"ucke is finally discussed in the same framework.",
    "arxiv_id": "quant-ph/9703017",
    "authors": [
      "Peter Nattermann"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "physics.gen-ph"
    ],
    "title": "Generalized Quantum Mechanics and Nonlinear Gauge Transformations",
    "url": "https://arxiv.org/abs/quant-ph/9703017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b73db4c4-baf3-4fca-8fe0-bdcf97b7a773",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}