Please use this identifier to cite or link to this item: doi:10.22028/D291-26172
Title: An analysis of quantum Fokker-Planck models : a Wigner function approach
Author(s): Arnold, Anton
Lopéz, José L.
Markowich, Peter A.
Soler, Juan
Language: English
Year of Publication: 2000
Free key words: open quantum system
large-time behavior
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: The analysis of dissipative transport equations within the framework of open quantum systems with Fokker-Planck-type scattering is carried out from the perspective of a Wigner function approach. In particular, the well-posedness of the self-consistent whole-space problem in 3D is analyzed: existence of solutions, uniqueness and asymptotic behavior in time, where we adopt the viewpoint of mild solutions in this paper. Also, the admissibility of a density matrix formulation in Lindblad form with Fokker-Planck dissipation mechanisms is discussed. We remark that our solution concept allows to carry out the analysis directly on the level of the kinetic equation instead of on the level of the density operator.
Link to this record: urn:nbn:de:bsz:291-scidok-43309
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 22
Date of registration: 5-Nov-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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