On the quantum probability flux through surfaces

Details On the quantum probability flux through surfaces On the quantum probability flux through surfaces

1995-12-12

arxiv.org/abs/quant-ph/9512016v2

Physics

Quantum Physics

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

Scientific paper

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.

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