{
  "annotation_id": "ee8e82ee-a0d9-452d-b415-3fbfaff2e7ae",
  "date_created": "2026-03-02T18:02:37.316000Z",
  "date_modified": "2026-03-02T18:02:37.316000Z",
  "file_hash": "d855cf5e9700b6286058a633324e90c6c56aa1a2016b1c79d3b1be2391de46a7",
  "private": false,
  "record": {
    "abstract": "For the family of nonlinear Schr\\\"odinger equations derived by H.-D.~Doebner\nand G.A.~Goldin (J.Phys.A 27, 1771) we calculate the complete set of Lie\nsymmetries. For various subfamilies we find different finite and infinite\ndimensional Lie symmetry algebras. Two of the latter lead to a local\ntransformation linearizing the particular subfamily. One type of these\ntransformations leaves the whole family of equations invariant, giving rise to\na gauge classification of the family. The Lie symmetry algebras and their\ncorresponding subalgebras are finally characterized by gauge invariant\nparameters.",
    "arxiv_id": "quant-ph/9506037",
    "authors": [
      "P. Nattermann"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "nlin.SI",
      "solv-int"
    ],
    "doi": "10.1016/0034-4877(96)83634-2",
    "journal_ref": "Rep. Math. Phys. 36(2/3), 387-402",
    "title": "Symmetry, Local Linearization, and Gauge Classification of the   Doebner-Goldin Equation",
    "url": "https://arxiv.org/abs/quant-ph/9506037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f17d36eb-015e-44bd-83fb-fb7012160e18",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}