R. Bosi:

"Classical limit for linear and nonlinear Quantum Fokker-Planck systems";

in: "ASC Report 38/2008", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

We study the classical limit of some linear and nonlinear Quantum Fokker-

Planck systems. In the nonlinear case we consider an Hartree-type potential. By

the use of the Wigner transform and compactness methods, we prove the con-

vergence of the system to a linear and nonlinear Vlasov Fokker-Planck equation

respectively. The physical case with a Poisson coupling in three dimensions is

included.

classical limit, Fokker-Planck operator, Wigner measure, Hartree equation,

http://www.asc.tuwien.ac.at/preprint/2008/asc38x2008.pdf

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