On the quantum probability flux through surfaces
Abstract
We remark that the often ignored quantum probability current is fundamental for a genuine understanding of scattering phenomena and, in particular, for the statistics of the time and position of the first exit of a quantum particle from a given region, which may be simply expressed in terms of the current. This simple formula for these statistics does not appear as such in the literature. It is proposed that the formula, which is very different from the usual quantum mechanical measurement formulas, be verified experimentally. A full understanding of the quantum current and the associated formula is provided by Bohmian mechanics.
 Publication:

arXiv eprints
 Pub Date:
 December 1995
 DOI:
 10.48550/arXiv.quantph/9512016
 arXiv:
 arXiv:quantph/9512016
 Bibcode:
 1995quant.ph.12016D
 Keywords:

 Quantum Physics
 EPrint:
 15 pages, 3 figures, revised and more detailed version, to be published in Journal of Statistical Physics, August 97