{
  "annotation_id": "624662ad-2c47-4051-ac28-1615b139e817",
  "date_created": "2026-03-02T18:01:49.065000Z",
  "date_modified": "2026-03-02T18:01:49.065000Z",
  "file_hash": "88f00551b551e3f969898748410e5ec0fde4b0761f2e6fb64ca244065eec4c04",
  "private": false,
  "record": {
    "abstract": "We consider systems, which conserve the particle number and are described by\nSchr\\\"odinger equations containing complex nonlinearities. In the case of\ncanonical systems, we study their main symmetries and conservation laws. We\nintroduce a Cole-Hopf like transformation both for canonical and noncanonical\nsystems, which changes the evolution equation into another one containing\npurely real nonlinearities, and reduces the continuity equation to the standard\nform of the linear theory. This approach allows us to treat, in a unifying\nscheme, a wide variety of canonical and noncanonical nonlinear systems, some of\nthem already known in the literature. pacs{PACS number(s): 02.30.Jr, 03.50.-z,\n03.65.-w, 05.45.-a, 11.30.Na, 11.40.Dw",
    "arxiv_id": "quant-ph/0202032",
    "authors": [
      "G. Kaniadakis",
      "A. M. Scarfone"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.soft",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/35/8/311",
    "journal_ref": "J.Phys.A:Math.Gen. 35, 1943 (2002)",
    "title": "Cole-Hopf Like Transformation for Schr\\\"odinger Equations Containing   Complex Nonlinearities",
    "url": "https://arxiv.org/abs/quant-ph/0202032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6ba9bba7-77c6-4398-be1d-08f582097c2c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}