1995/03/09 by K. Berndl, D. Dürr, S. Goldstein +2 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1007/bf02101660
published as Commun.Math.Phys. 173 (1995) 647-674 · 35 pages, LaTex
arxiv created 1995/03/09 · arxiv updated 2016/08/14
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 Schrödinger Hamiltonian.