{
  "annotation_id": "5b85a8ee-bf45-4223-a63a-05ebc2ec7b72",
  "date_created": "2026-03-02T18:02:41.663000Z",
  "date_modified": "2026-03-02T18:02:41.663000Z",
  "file_hash": "b7d0223ec74341e80b2ca9944179ddda690c0db8bd3d7436ceeadcd54728f4e4",
  "private": false,
  "record": {
    "abstract": "We develop a mathematically well-defined path integral formalism for general\nsymplectic manifolds. We argue that in order to make a path integral\nquantization covariant under general coordinate transformations on the phase\nspace and involve a genuine functional measure that is both finite and\ncountably additive, the phase space manifold should be equipped with a\nRiemannian structure (metric). A suitable method to calculate the metric is\nalso proposed.",
    "arxiv_id": "quant-ph/9805014",
    "authors": [
      "Sergei V. Shabanov",
      "John R. Klauder"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0370-2693(98)00798-9",
    "journal_ref": "Phys.Lett. B435 (1998) 343-349",
    "title": "Path Integral Quantization and Riemannian-Symplectic Manifolds",
    "url": "https://arxiv.org/abs/quant-ph/9805014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "728214f8-9a7b-4d76-9984-a844df05e925",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}