ENGLISH

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

By Grégoire Allaire , Anton Arnold , Pierre Degond , Thomas Yizhao Hou (auth.) , Naoufel Ben Abdallah , Giovanni Frosali (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
9783540795735, 3540795731, 9783540795742
DOI
10.1007/978-3-540-79574-2
LCC
QC679 .C56 2006
Open Library ID
OL23202257M
Language
english
Format
PDF
Filesize
6 MB (6087087 bytes)
Series
Lecture Notes in Mathematics 1946
Edition
1
Pages
260\272
Orientation
no
Scanned
no
Time added
2011-08-31 04:54:40
Partial Differential Equations;Quantum Physics;Mec

Description

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.

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