Quantum Transport Modelling, Analysis and Asymptotics — Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11–16, 2006 /

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 int...

Full description

Bibliographic Details
Main Authors: Allaire, Grégoire (Author), Arnold, Anton (Author), Degond, Pierre (Author), Hou, Thomas Yizhao (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Abdallah, Naoufel Ben (Editor), Frosali, Giovanni (Editor)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
Series:Lecture Notes in Mathematics, 1946
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XIV, 260 p. 57 illus. online resource.
ISBN:9783540795742
ISSN:0075-8434 ;