Subband Diffusion Models for Quantum Transport in a Strong Force Regime

DOI10.1137/100804164zbMath1237.81072OpenAlexW2079820585MaRDI QIDQ3225250

Christian Ringhofer

Publication date: 16 March 2012

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100804164

zbMATH Keywords

quantum hydrodynamicsquantum transportWigner functionssemiclassical limits

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) (S)-matrix theory, etc. in quantum theory (81U20) Transport processes in time-dependent statistical mechanics (82C70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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