On the Flux-Across-Surfaces Theorem

Details On the Flux-Across-Surfaces Theorem On the Flux-Across-Surfaces Theorem

1995-11-09

arxiv.org/abs/quant-ph/9511011v3

Lett.Math.Phys. 38 (1996) 103-116

Physics

Quantum Physics

13 pages, latex, 1 figure, very minor revisions, to appear in Letters in Mathematical Physics, Vol. 38, Nr. 1

Scientific paper

10.1007/BF00398303

The quantum probability flux of a particle integrated over time and a distant surface gives the probability for the particle crossing that surface at some time. We prove the free Flux-Across-Surfaces Theorem, which was conjectured by Combes, Newton and Shtokhamer, and which relates the integrated quantum flux to the usual quantum mechanical formula for the cross section. The integrated quantum flux is equal to the probability of outward crossings of surfaces by Bohmian trajectories in the scattering regime.

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