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A microscopic derivation of the quantum mechanical formal scattering cross section

D. Dürr·S. Goldstein·T. Moser·N. Zangh\`ı
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Abstract

We prove that the empirical distribution of crossings of a "detector'' surface by scattered particles converges in appropriate limits to the scattering cross section computed by stationary scattering theory. Our result, which is based on Bohmian mechanics and the flux-across-surfaces theorem, is the first derivation of the cross section starting from first microscopic principles.

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D. Dürr, S. Goldstein, T. Moser, N. Zangh\`ı. 2006-07-03. A microscopic derivation of the quantum mechanical formal scattering cross section. https://doi.org/10.1007/s00220-006-0053-x

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