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res:
bibo_abstract:
- 'We consider a quantum particle moving in a harmonic exterior potential and linearly
coupled to a heat bath of quantum oscillators. Caldeira and Leggett derived the
Fokker Planck equation with friction for the Wigner distribution of the particle
in the large-temperature limit: however, their (nonrigorous) derivation was not
free of criticism, especially since the limiting equation is not of Lindblad form.
In this paper we recover the correct form of their result in a rigorous way. We
also point out that the source of the diffusion is physically restrictive under
this scaling. We investigate the model at a fixed temperature and in the large-time
limit, where the origin of the diffusion is a cumulative effect of many resonant
collisions. We obtain a heat equation with a friction term for the radial process
in phase space and we prove the Einstein relation in this case.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: François
foaf_name: Castella, François
foaf_surname: Castella
- foaf_Person:
foaf_givenName: László
foaf_name: László Erdös
foaf_surname: Erdös
foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-5366-9603
- foaf_Person:
foaf_givenName: Florian
foaf_name: Frommlet, Florian
foaf_surname: Frommlet
- foaf_Person:
foaf_givenName: Peter
foaf_name: Markowich, Peter A
foaf_surname: Markowich
bibo_doi: 10.1023/A:1018667323830
bibo_issue: 3-4
bibo_volume: 100
dct_date: 2000^xs_gYear
dct_publisher: Springer@
dct_title: Fokker-Planck equations as scaling limits of reversible quantum systems@
...