Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems
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Publication:598153
DOI10.1016/j.jcp.2003.12.004zbMath1079.81026OpenAlexW1612931621MaRDI QIDQ598153
Laurent Gosse, Peter Alexander Markowich
Publication date: 6 August 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.12.004
HomogenizationVlasov equationMoment methodNon-strictly hyperbolic systemsPeriodic potentialSemiclassical limit
Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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