Title
Wigner distribution functions for complex dynamical systems : the emergence of the Wigner-Boltzmann equation Wigner distribution functions for complex dynamical systems : the emergence of the Wigner-Boltzmann equation
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics. - Lancaster, Pa, 1993 - 2000
Volume/pages
88(2013) :4 , 6 p.
ISSN
1063-651X
1095-3787
1539-3755
Article Reference
042101
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/6a67cb/cb090d7b.pdf
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