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 hdl:20.500.11880/26228 http://dx.doi.org/10.22028/D291-26172 |
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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preprint_22_00.pdf | 273,58 kB | Adobe PDF | View/Open |
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