{
  "annotation_id": "062609b8-5cb9-463d-93fb-2417ab0338b4",
  "date_created": "2026-03-02T18:01:52.424000Z",
  "date_modified": "2026-03-02T18:01:52.424000Z",
  "file_hash": "51c0db24c69861310826e84253ff1e3d7043a345e10a1eaaa450c9e15498011b",
  "private": false,
  "record": {
    "abstract": "We consider a wide class of nonlinear canonical quantum systems described by\na one-particle Schroedinger equation containing a complex nonlinearity. We\nintroduce a nonlinear unitary transformation which permits us to linearize the\ncontinuity equation. In this way we are able to obtain a new quantum system\nobeying to a nonlinear Schroedinger equation with a real nonlinearity. As an\napplication of this theory we consider a few already studied Schroedinger\nequations as that containing the nonlinearity introduced by the\nexclusion-inclusion principle, the Doebner-Goldin equation and others.\n  PACS numbers: 03.65.-w, 11.15.-q",
    "arxiv_id": "quant-ph/0209075",
    "authors": [
      "G. Kaniadakis",
      "A. M. Scarfone"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0034-4877(01)80014-8",
    "journal_ref": "Rep. Math. Phys. 46, 113 (2000)",
    "title": "Nonlinear gauge transformation for a class of Schroedinger equations   containing complex nonlinearities",
    "url": "https://arxiv.org/abs/quant-ph/0209075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7db12d77-9bde-4a88-92e4-ccdc65e75671",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}