{
  "id": "quant-ph/9503013",
  "version": "v1",
  "published": "1995-03-09T17:58:58.000Z",
  "updated": "1995-03-09T17:58:58.000Z",
  "title": "On the Global Existence of Bohmian Mechanics",
  "authors": [
    "K. Berndl",
    "D. Dürr",
    "S. Goldstein",
    "G. Peruzzi",
    "N. Zanghì"
  ],
  "comment": "35 pages, LaTex",
  "journal": "Commun.Math.Phys. 173 (1995) 647-674",
  "doi": "10.1007/BF02101660",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show that the particle motion in Bohmian mechanics, given by the solution of an ordinary differential equation, exists globally: For a large class of potentials the singularities of the velocity field and infinity will not be reached in finite time for typical initial values. A substantial part of the analysis is based on the probabilistic significance of the quantum flux. We elucidate the connection between the conditions necessary for global existence and the self-adjointness of the Schr\\\"odinger Hamiltonian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-03-09T17:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bohmian mechanics",
      "global existence",
      "ordinary differential equation",
      "conditions necessary",
      "particle motion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 382955
    }
  }
}