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 behavior of paths of Nelson's diffusions. The quantum mechanical results can then be recovered by taking expectations in our pathwise statements.
Scattering into cones and flux across surfaces in quantum mechanics : a pathwise probabilistic approach / Andrea Posilicano, Stefania Ugolini. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 43:11(2002), pp. 5386-5399.
Scattering into cones and flux across surfaces in quantum mechanics : a pathwise probabilistic approach
Stefania Ugolini
2002
Abstract
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 behavior of paths of Nelson's diffusions. The quantum mechanical results can then be recovered by taking expectations in our pathwise statements.
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