{
  "annotation_id": "d98f8198-2eaa-42fa-8b01-9849873bd07b",
  "date_created": "2026-03-02T18:02:41.661000Z",
  "date_modified": "2026-03-02T18:02:41.661000Z",
  "file_hash": "dfc4907eed051b92e219db6ec6bf65458d888e58e4e61139e9f1fec703b13b4c",
  "private": false,
  "record": {
    "abstract": "The Lie product and the order relation are viewed as defining structures for\nHamiltonian dynamical systems. Their admissible combinations are singled out by\nthe requirement that the group of the Lie automorphisms be contained in the\ngroup of the order automorphisms (Lie algebras with invariant cones). Taking\nadvantage of the reciprocal independence of the relevant structures, the\ninclusion relation between the two automorphism groups can be reversed; a\nprocedure which leads to an entirely new formal language (ordered linear spaces\nwith invariant Lie products). Presumably it offers an alternative description\nfor quantum systems, radically different from the conventional algebraic\nmodels.",
    "arxiv_id": "quant-ph/9711004",
    "authors": [
      "A. Petrov"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "title": "Two-Structure Framework for Hamiltonian Dynamical Systems",
    "url": "https://arxiv.org/abs/quant-ph/9711004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a1f9386-7f89-4d4d-8882-a1d4085d0a61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}