Publication
Title
Wigner distribution functions for complex dynamical systems : the emergence of the Wigner-Boltzmann equation
Author
Abstract
The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators. The result is derived from the Wigner function formulation of the Feynman-Vernon influence functional theory. It is shown how the true self-energy for the equation of motion is connected with the influence functional for the path integral. Explicit expressions are derived in terms of the bare Wigner propagator. Finally, we show under which approximations the resulting equation of motion reduces to the Wigner-Boltzmann equation.
Language
English
Source (journal)
Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics. - Lancaster, Pa, 1993 - 2000
Publication
Lancaster, Pa : 2013
ISSN
1063-651X [print]
1095-3787 [online]
Volume/pages
88:4(2013), 6 p.
Article Reference
042101
ISI
000325167300001
Medium
E-only publicatie
Full text (Publishers DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.10.2013
Last edited 22.05.2017
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