Contributions to Books:
"Dissipative quantum fluid models";
in: "ASC Report 27/2010",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
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, Schršodinger equation, Wigner equation,
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.