A microscopic derivation of the quantum mechanical formal scattering cross section
Quantum Physics
2009-11-11 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.quant-ph/0509010,
title = {A microscopic derivation of the quantum mechanical formal scattering cross section},
author = {D. Dürr and S. Goldstein and T. Moser and N. Zangh\`ı},
journal= {arXiv preprint arXiv:quant-ph/0509010},
year = {2009}
}
Comments
28 pages, v2: Typos corrected, layout improved, v3: Typos corrected. Accepted for publication in Comm. Math. Phys