Quantum Transport : Modelling, Analysis and Asymptotics — Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11–16, 2006
Publication year: 2008
ISBN: 978-3-540-79574-2
Internet Resource: Please Login to download book
The CIME Summer School held in Cetraro, Italy, in 2006 addressed researchers interested in the mathematical study of quantum transport models. In this volume, a result of the above mentioned Summer School, four leading specialists present different aspects of quantum transport modelling. Allaire introduces the periodic homogenization theory, with a particular emphasis on applications to the Schrödinger equation. Arnold focuses on several quantum evolution equations that are used for quantum semiconductor device simulations. Degond presents quantum hydrodynamic and diffusion models starting from the entropy minimization principle. Hou provides the state-of-the-art survey of the multiscale analysis, modelling and simulation of transport phenomena.
Subject: Mathematics and Statistics, Excel, Homogenization theory, Mathematica, Multiple scale problems, Open quantum systems, Quantum evolution equations, Schrödinger equation, Volume, computation, entropy, evolution, homogenization, modelling, open quantum system, theorem, partial differential equations, fluid- and aerodynamics
