On quantum hydrodynamic and quantum energy transport models

DOI10.4310/CMS.2007.v5.n4.a8zbMath1134.82016MaRDI QIDQ2477140

Samy Gallego, Pierre Degond, Florian Méhats

Publication date: 13 March 2008

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cms/1199377556

zbMATH Keywords

quantum entropygauge invariancedensity operatorquantum hydrodynamicscommutatorsquantum Liouville equationquantum energy transportquantum local equilibrium

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of semiconductors (82D37) Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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