{
  "annotation_id": "617e00d8-e074-4a7e-b5a1-51e80439a1a9",
  "date_created": "2026-03-02T18:02:37.229000Z",
  "date_modified": "2026-03-02T18:02:37.229000Z",
  "file_hash": "2d3ebcdd268c70d296966576cd053923c2ae41e82e81449429b5530ce3644f98",
  "private": false,
  "record": {
    "abstract": "The canonical functional action in the path integral in phase space is\ndiscretized by linking each pair of consecutive vertebral points --${\\bf q}_k$\nand ${\\bf p}_{k+1}$ or ${\\bf p}_k$ and ${\\bf q}_{k+1}$-- through the invariant\ncomplete solution of the Hamilton-Jacobi equation associated with the classical\npath defined by these extremes. When the measure is chosen to reflect the\ngeometrical character of the propagator (it must behave as a density of weight\n1/2 in both of its arguments), the resulting infinitesimal propagator is cast\nin the form of an expansion in a basis of short-time solutions of the wave\nequation, associated with the eigenfunctions of the initial momenta canonically\nconjugated to a set of normal coordinates. The operator ordering induced by\nthis prescription is a combination of a symmetrization rule coming from the\nphase, and a derivative term coming from the measure.",
    "arxiv_id": "quant-ph/9611040",
    "authors": [
      "Rafael Ferraro"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/32/13/010",
    "journal_ref": "J.Phys.A32:2589,1999",
    "title": "The Jacobi principal function in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9611040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c611481b-fd0a-4808-b763-a55bea50db46",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}