{
  "annotation_id": "c5609a60-570c-4b95-bbea-ae738702795d",
  "date_created": "2026-03-02T18:01:18.488000Z",
  "date_modified": "2026-03-02T18:01:18.488000Z",
  "file_hash": "3f8dc733c4658f2ac1e877148f5f8520c074d91c584376051261823a04f9d894",
  "private": false,
  "record": {
    "abstract": "An algorithm for studing the symmetrical properties of the partial\ndifferential equation of the type Lu=0 is proposed. By symmetry of this\nequation we mean the operators Q satisfying commutational relations of order p\nmore than p=1 on the solutions u: [L...[L,Q]...]u=0. It is shown, that within\nthe framework of the proposed method with p=2 the relativistic D\u0027Alembert and\nMaxwell equations are the Galilei symmetrical ones. Analogously, with p=2 the\nGalilei symmetrical Schroedinger equation is the relativistic symmetrical one.\nIn both cases the standard symmetries are realized with p=1.",
    "arxiv_id": "physics/9701006",
    "authors": [
      "G. A. Kotel\u0027nikov"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Proc. 7th Int. Conf. \"Symmetry Methods in Physics\", Dubna, 2\n  (1996) 358-363",
    "title": "New Symmetries in Mathematical Physics Equations",
    "url": "https://arxiv.org/abs/physics/9701006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f542bf3d-ad63-4a06-b998-06210f7ad5a4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}