{
  "annotation_id": "9fa91261-b4c3-43b0-acb0-b54885c11564",
  "date_created": "2026-03-02T18:02:07.054000Z",
  "date_modified": "2026-03-02T18:02:07.054000Z",
  "file_hash": "41767b093c16a8c349153120290031f6e6cccce4817d8562a83998b801ffa49e",
  "private": false,
  "record": {
    "abstract": "Classical trajectories are calculated for two Hamiltonian systems with ring\nshaped potentials. Both systems are super-integrable, but not maximally\nsuper-integrable, having four globally defined single valued integrals of\nmotion each. All finite trajectories are quasi-periodical; they become truly\nperiodical if a commensurability condition is imposed on an angular momentum\ncomponent.",
    "arxiv_id": "quant-ph/0405017",
    "authors": [
      "Maurice Robert Kibler",
      "Pavel Winternitz"
    ],
    "categories": [
      "quant-ph",
      "physics.chem-ph",
      "physics.class-ph"
    ],
    "doi": "10.1016/0375-9601(90)90549-4",
    "journal_ref": "Physics Letters A 147 (1990) 338-342",
    "title": "Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian   Systems",
    "url": "https://arxiv.org/abs/quant-ph/0405017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6cb16fcc-9db0-40ad-a600-71d88766c0cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}