dorsal/arxiv
View SchemaOn the exit statistics theorem of many particle quantum scattering
| Authors | Detlef Duerr, Stefan Teufel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405007 |
| URL | https://arxiv.org/abs/quant-ph/0405007 |
Abstract
We review the foundations of the scattering formalism for one particle potential scattering and discuss the generalization to the simplest case of many non interacting particles. We point out that the "straight path motion" of the particles, which is achieved in the scattering regime, is at the heart of the crossing statistics of surfaces, which should be thought of as detector surfaces. We sketch a proof of the relevant version of the many particle flux across surfaces theorem and discuss what needs to be proven for the foundations of scattering theory in this context.
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"abstract": "We review the foundations of the scattering formalism for one particle\npotential scattering and discuss the generalization to the simplest case of\nmany non interacting particles. We point out that the \"straight path motion\" of\nthe particles, which is achieved in the scattering regime, is at the heart of\nthe crossing statistics of surfaces, which should be thought of as detector\nsurfaces. We sketch a proof of the relevant version of the many particle flux\nacross surfaces theorem and discuss what needs to be proven for the foundations\nof scattering theory in this context.",
"arxiv_id": "quant-ph/0405007",
"authors": [
"Detlef Duerr",
"Stefan Teufel"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"title": "On the exit statistics theorem of many particle quantum scattering",
"url": "https://arxiv.org/abs/quant-ph/0405007"
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