2005/09/30 by D. Dürr, Sheldon Goldstein, S. Goldstein +3
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #Quantum Mechanics and Applications #Topological and Geometric Data Analysis #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/s00220-006-0053-x
published as Commun. Math. Phys. 266 (2006), no. 3, 665-697 · 28 pages, v2: Typos corrected, layout improved, v3: Typos corrected. Accepted for publication in Comm. Math. Phys
arxiv created 2006/07/03 · openalex publication_date 2006/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.