{
  "annotation_id": "2ad04318-8bfb-4114-8321-53775110e9ed",
  "date_created": "2026-03-02T18:01:53.048000Z",
  "date_modified": "2026-03-02T18:01:53.048000Z",
  "file_hash": "643824b30b2855fcb506dc2f43a6c9812bcbc19dec79a302e9c519e8b214b1ab",
  "private": false,
  "record": {
    "abstract": "In the present contribution we consider a class of Schroedinger equations\ncontaining complex nonlinearities, describing systems with conserved norm\n$|\\psi|^2$ and minimally coupled to an abelian gauge field. We introduce a\nnonlinear transformation which permits the linearization of the source term in\nthe evolution equations for the gauge field, and transforms the nonlinear\nSchroedinger equations in another one with real nonlinearities. We show that\nthis transformation can be performed either on the gauge field $A_\\mu$ or,\nequivalently, on the matter field $\\psi$. Since the transformation does not\nchange the quantities $|\\psi|^2$ and $F_{\\mu\\nu}$, it can be considered a\ngeneralization of the gauge transformation of third kind introduced some years\nago by other authors.\n  Pacs numbers: 03.65.-w, 11.15.-q",
    "arxiv_id": "quant-ph/0209130",
    "authors": [
      "G. Kaniadakis",
      "A. M. Scarfone"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0034-4877(01)80070-7",
    "journal_ref": "Rep. Math. Phys. 48, 115 (2001)",
    "title": "Nonlinear Transformation for a Class of Gauged Schroedinger Equations   with Complex Nonlinearities",
    "url": "https://arxiv.org/abs/quant-ph/0209130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb394a7b-a71a-432f-ac00-68ac34e7b595",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}