Quantum Transport
Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006
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Beschreibung
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.
The volume contains accurate expositions of the main aspects of quantum transport modelling and provides an excellent basis for researchers in this field.
Includes supplementary material: sn.pub/extras
Autor*in
Grégoire Allaire
Themen in »Quantum Transport«
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