dorsal/arxiv
View SchemaSubdynamics of relevant observables: a field theoretical approach
| Authors | Ludovico Lanz, Bassano Vacchini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204091 |
| URL | https://arxiv.org/abs/quant-ph/0204091 |
| DOI | 10.1142/S0217751X02005918 |
| Journal | Int.J.Mod.Phys. A17 (2002) 435-463 |
Abstract
An approach to the description of subdynamics inside non-relativistic quantum field theory is presented, in which the notions of relevant observable, time scale and complete positivity of the time evolution are stressed. A scattering theory derivation of the subdynamics of a microsystem interacting through collisions with a macrosystem is given, leading to a master-equation expressed in terms of the operator-valued dynamic structure factor, a two-point correlation function which compactly takes the statistical mechanics properties of the macrosystem into account. For the case of a free quantum gas the dynamic structure factor can be exactly calculated and in the long wavelength limit a Fokker-Planck equation for the description of quantum dissipation and in particular quantum Brownian motion is obtained, where peculiar corrections due to quantum statistics can be put into evidence.
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"abstract": "An approach to the description of subdynamics inside non-relativistic quantum\nfield theory is presented, in which the notions of relevant observable, time\nscale and complete positivity of the time evolution are stressed. A scattering\ntheory derivation of the subdynamics of a microsystem interacting through\ncollisions with a macrosystem is given, leading to a master-equation expressed\nin terms of the operator-valued dynamic structure factor, a two-point\ncorrelation function which compactly takes the statistical mechanics properties\nof the macrosystem into account. For the case of a free quantum gas the dynamic\nstructure factor can be exactly calculated and in the long wavelength limit a\nFokker-Planck equation for the description of quantum dissipation and in\nparticular quantum Brownian motion is obtained, where peculiar corrections due\nto quantum statistics can be put into evidence.",
"arxiv_id": "quant-ph/0204091",
"authors": [
"Ludovico Lanz",
"Bassano Vacchini"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X02005918",
"journal_ref": "Int.J.Mod.Phys. A17 (2002) 435-463",
"title": "Subdynamics of relevant observables: a field theoretical approach",
"url": "https://arxiv.org/abs/quant-ph/0204091"
},
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