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.

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,

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

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