Contributions to Books:

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

English abstract:
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.