{
  "annotation_id": "bc65c240-729b-4f74-bb30-400a4f13a13f",
  "date_created": "2026-03-02T18:02:44.136000Z",
  "date_modified": "2026-03-02T18:02:44.136000Z",
  "file_hash": "bd6491e0d168add320f4e1e4081f0583887f9f8d4fc2026e3bdd025cbab8d7bf",
  "private": false,
  "record": {
    "abstract": "Adapting ideas of Daubechies and Klauder we derive a continuum path-integral\nformula for the time evolution generated by a spin Hamiltonian. For this\npurpose we identify the finite-dimensional spin Hilbert space with the\nground-state eigenspace of a suitable Sch\\\"odinger operator on\n$L^2({\\mathbb{R}}^2)$, the Hilbert space of square-integrable functions on the\nEuclidean plane ${\\mathbb{R}}^2$, and employ the Feynman-Kac-It\\^o formula.",
    "arxiv_id": "quant-ph/9810069",
    "authors": [
      "Bernhard Bodmann",
      "Hajo Leschke",
      "Simone Warzel"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "pp. 173-176 in: Path Integrals from peV to TeV: 50 Years after\n  Feynman\u0027s Paper, Editors: R. Casalbuoni, R.Giachetti, V.Tognetti, R. Vaia,\n  P.Verrucchi, World Scientific, Singapore, 1999",
    "title": "A rigorous path-integral formula for quantum-spin dynamics via planar   Brownian motion",
    "url": "https://arxiv.org/abs/quant-ph/9810069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a63f71f0-ba57-40d7-a851-7650c130dece",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}