{
  "annotation_id": "249b2879-60a9-4b8a-ae29-99818603f24c",
  "date_created": "2026-03-02T18:01:49.438000Z",
  "date_modified": "2026-03-02T18:01:49.438000Z",
  "file_hash": "462a11e57f2e5e4894b2e9ae2202d132b3dd3999060f067621b9ac7d4699d756",
  "private": false,
  "record": {
    "abstract": "We first compare the mathematical structure of quantum and classical\nmechanics when both are formulated in a C*-algebraic framework. By using finite\nvon Neumann algebras, a quantum mechanical analogue of Liouville\u0027s theorem is\nthen proposed. We proceed to study Poincare recurrence in C*-algebras by\nmimicking the measure theoretic setting. The results are interpreted as\nrecurrence in quantum mechanics, similar to Poincare recurrence in classical\nmechanics.",
    "arxiv_id": "quant-ph/0202023",
    "authors": [
      "Rocco Duvenhage"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1023/A:1013217415677",
    "journal_ref": "Int. J. Theor. Phys. 41, 45-61 (2002)",
    "title": "Recurrence in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0202023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f1fd8786-a934-4c6d-aa01-d8711f3345ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}