{
  "annotation_id": "8bfb8020-7d48-4e2e-8843-5fc600b35ff5",
  "date_created": "2026-03-02T18:02:37.882000Z",
  "date_modified": "2026-03-02T18:02:37.882000Z",
  "file_hash": "4d06fd3e3c5c202ffe74a819fb6cb04b8bba179296fa67e63a65b545339ef26f",
  "private": false,
  "record": {
    "abstract": "The quantum probability flux of a particle integrated over time and a distant\nsurface gives the probability for the particle crossing that surface at some\ntime. We prove the free Flux-Across-Surfaces Theorem, which was conjectured by\nCombes, Newton and Shtokhamer, and which relates the integrated quantum flux to\nthe usual quantum mechanical formula for the cross section. The integrated\nquantum flux is equal to the probability of outward crossings of surfaces by\nBohmian trajectories in the scattering regime.",
    "arxiv_id": "quant-ph/9511011",
    "authors": [
      "M. Daumer",
      "D. D\u00fcrr",
      "S. Goldstein",
      "N. Zanghi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF00398303",
    "journal_ref": "Lett.Math.Phys. 38 (1996) 103-116",
    "title": "On the Flux-Across-Surfaces Theorem",
    "url": "https://arxiv.org/abs/quant-ph/9511011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d1168ece-67ac-4cb2-b6ff-5db786edff0d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}