{
  "annotation_id": "0b38b2aa-d219-414f-9036-ac6ad6c4fdf4",
  "date_created": "2026-03-02T18:02:37.288000Z",
  "date_modified": "2026-03-02T18:02:37.288000Z",
  "file_hash": "c1631fee48358342eb3df61bf27e1e9e4cbb72383a90a237a80c6669cf5506f1",
  "private": false,
  "record": {
    "abstract": "We show that the particle motion in Bohmian mechanics, given by the solution\nof an ordinary differential equation, exists globally: For a large class of\npotentials the singularities of the velocity field and infinity will not be\nreached in finite time for typical initial values. A substantial part of the\nanalysis is based on the probabilistic significance of the quantum flux. We\nelucidate the connection between the conditions necessary for global existence\nand the self-adjointness of the Schr\\\"odinger Hamiltonian.",
    "arxiv_id": "quant-ph/9503013",
    "authors": [
      "K. Berndl",
      "D. D\u00fcrr",
      "S. Goldstein",
      "G. Peruzzi",
      "N. Zangh\\`\u0131"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02101660",
    "journal_ref": "Commun.Math.Phys. 173 (1995) 647-674",
    "title": "On the Global Existence of Bohmian Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9503013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7332eacc-f17c-4b80-8a42-ba7424b16bfb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}