dorsal/arxiv
View SchemaOn a correspondence between classical and quantum particle systems
| Authors | Klaus Morawetz |
|---|---|
| Categories | |
| ArXiv ID | physics/0011059 |
| URL | https://arxiv.org/abs/physics/0011059 |
| DOI | 10.1103/PhysRevE.66.022103 |
| Journal | Phys.Rev.E66:022103,2002 |
Abstract
An exact correspondence is established between a $N$-body classical interacting system and a $N-1$-body quantum system with respect to the partition function. The resulting quantum-potential is a $N-1$-body one. Inversely the Kelbg potential is reproduced which describes quantum systems at a quasi-classical level. The found correspondence between classical and quantum systems allows also to approximate dense classical many body systems by lower order quantum perturbation theory replacing Planck's constant properly by temperature and density dependent expressions. As an example the dynamical behaviour of an one - component plasma is well reproduced concerning the formation of correlation energy after a disturbance utilising solely the analytical quantum - Born result for dense degenerated Fermi systems. As a practical guide the quantum - Bruckner parameter $r_s$ has been replaced by the classical plasma parameter $\Gamma$ as $r_s\approx0.3 \Gamma^{3/2}$
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"abstract": "An exact correspondence is established between a $N$-body classical\ninteracting system and a $N-1$-body quantum system with respect to the\npartition function. The resulting quantum-potential is a $N-1$-body one.\nInversely the Kelbg potential is reproduced which describes quantum systems at\na quasi-classical level. The found correspondence between classical and quantum\nsystems allows also to approximate dense classical many body systems by lower\norder quantum perturbation theory replacing Planck\u0027s constant properly by\ntemperature and density dependent expressions. As an example the dynamical\nbehaviour of an one - component plasma is well reproduced concerning the\nformation of correlation energy after a disturbance utilising solely the\nanalytical quantum - Born result for dense degenerated Fermi systems. As a\npractical guide the quantum - Bruckner parameter $r_s$ has been replaced by the\nclassical plasma parameter $\\Gamma$ as $r_s\\approx0.3 \\Gamma^{3/2}$",
"arxiv_id": "physics/0011059",
"authors": [
"Klaus Morawetz"
],
"categories": [
"physics.plasm-ph",
"cond-mat.stat-mech",
"cond-mat.str-el",
"nucl-th",
"physics.gen-ph",
"quant-ph"
],
"doi": "10.1103/PhysRevE.66.022103",
"journal_ref": "Phys.Rev.E66:022103,2002",
"title": "On a correspondence between classical and quantum particle systems",
"url": "https://arxiv.org/abs/physics/0011059"
},
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