dorsal/arxiv
View SchemaA microscopic derivation of the quantum mechanical formal scattering cross section
| Authors | D. Dürr, S. Goldstein, T. Moser, N. Zangh\`ı |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509010 |
| URL | https://arxiv.org/abs/quant-ph/0509010 |
| DOI | 10.1007/s00220-006-0053-x |
| Journal | Commun. Math. Phys. 266 (2006), no. 3, 665-697 |
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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"abstract": "We prove that the empirical distribution of crossings of a \"detector\u0027\u0027\nsurface by scattered particles converges in appropriate limits to the\nscattering cross section computed by stationary scattering theory. Our result,\nwhich is based on Bohmian mechanics and the flux-across-surfaces theorem, is\nthe first derivation of the cross section starting from first microscopic\nprinciples.",
"arxiv_id": "quant-ph/0509010",
"authors": [
"D. D\u00fcrr",
"S. Goldstein",
"T. Moser",
"N. Zangh\\`\u0131"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1007/s00220-006-0053-x",
"journal_ref": "Commun. Math. Phys. 266 (2006), no. 3, 665-697",
"title": "A microscopic derivation of the quantum mechanical formal scattering cross section",
"url": "https://arxiv.org/abs/quant-ph/0509010"
},
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