[Zurück]

A. Jüngel:
"Dissipative quantum fluid models";
in: "ASC Report 27/2010", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2010, ISBN: 978-3-902627-03-2.

Some macroscopic models for diffusive quantum systems
are reviewed. The model equations are derived from Wigner-Boltzmann
equations by a moment method. Depending on the properties of the
collision operator and the scaling of the Wigner equation, three model
classes are presented: the quantum drift-diffusion equations, inviscid
and viscous quantum hydrodynamic equations, and quantum Navier-
Stokes equations. For each of these models, the derivation is sketched
and analytical results are reviewed.

Quantum transport, Schr¨odinger equation, Wigner equation,

http://www.asc.tuwien.ac.at/preprint/2010/asc27x2010.pdf