Scattering into Cones and Flux across Surfaces in Quantum Mechanics: a Pathwise Probabilistic Approach

Details Scattering into Cones and Flux across Surfaces in Quantum Mechanics: a Pathwise Probabilistic Approach Scattering into Cones and Flux across Surfaces in Quantum Mechanics: a Pathwise Probabilistic Approach

2002-07-29

arxiv.org/abs/math-ph/0207042v1

Physics

Mathematical Physics

To appear in Journal of Mathematical Physics

Scientific paper

10.1063/1.1504884

We show how the scattering-into-cones and flux-across-surfaces theorems in
Quantum Mechanics have very intuitive pathwise probabilistic versions based on
some results by Carlen about large time behaviour of paths of Nelson
diffusions. The quantum mechanical results can be then recovered by taking
expectations in our pathwise statements.

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