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.
|Original language||American English|
|Number of pages||27|
|Journal||Communications In Mathematical Physics|
|State||Published - Nov 1995|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics