Contributions to Books:
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.
English abstract:
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.
Keywords:
classical limit, Fokker-Planck operator, Wigner measure, Hartree equation,
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2008/asc38x2008.pdf
Created from the Publication Database of the Vienna University of Technology.