{
  "annotation_id": "774871bf-6c0a-4cd6-9aa6-c1775fc98f71",
  "date_created": "2026-03-02T18:01:59.865000Z",
  "date_modified": "2026-03-02T18:01:59.865000Z",
  "file_hash": "21bfe6d7e8f696c889794957ae4c5f3b666c56f4d86d3d838749b638ad92ef78",
  "private": false,
  "record": {
    "abstract": "Galilean invariant Schr\\\"odinger equations possessing nonlinear terms\ncoupling the amplitude and the phase of the wave function can violate the\nEhrenfest theorem. An example of this kind is provided. The example leads to\nthe proof of the theorem: A Galilean invariant Schr\\\"odinger equation derived\nfrom a lagrangian density obeys the Ehrenfest theorem. The theorem holds for\nany linear or nonlinear lagrangian.",
    "arxiv_id": "quant-ph/0307018",
    "authors": [
      "G. K\u00e4lbermann"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1088/0305-4470/37/8/011",
    "title": "Ehrenfest theorem, Galilean invariance and nonlinear Schr\\\"odinger   equations",
    "url": "https://arxiv.org/abs/quant-ph/0307018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "defe877b-f450-411e-8a5b-41a6a5dcdafa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}