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Quantum Transport

Modelling, Analysis and Asymptotics - Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 11-16, 2006

Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y Hou
Livre broché | Anglais | Lecture Notes in Mathematics | C.I.M.E. Foundation Subseries | n° 1946
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Description

Downscaling of semiconductor devices, which is now reaching the nanometer scale, makes it mandatory for us to understand the quantum phenomena - volvedinchargetransport.Indeed, fornanoscaledevices, thequantumnature of electrons cannot be neglected. In fact, it underlies the operation of an increasing number of devices. Unlike classical transport, the intuition of the physicistandtheengineerisbecominginsu?cientforpredictingthenatureof device operation in the quantum context-the need for su?ciently accurate and numerically tractable models represents an outstanding challenge in which applied mathematics can play an important role. TheCIMESession"QuantumTransport: Modelling, AnalysisandAsy- totics", which took place in Cetraro (Cosenza), Italy, from September 11 to September 16, 2006, was intended both to present an overview of up-to-date mathematical problems in this ?eld and to provide the audience with te- niques borrowed from other ?elds of application. It was attended by about 50 scientists and researchers, coming from d- ferent countries. The list of participants is included at the end of this book. The school was structured into four courses: ´ - Gr´ egoire Allaire (Ecole Polytechnique, Palaiseau, France) Periodic - mogeneization and E?ective MassTheorems for theSchr] odinger Equation. - AntonArnold(TechnischeUniversit] at, Vienna)MathematicalProperties of Quantum Evolution Equations. - Pierre Degond (Universit´ e Paul Sabatier and CNRS, Toulouse, France) Quantum Hydrodynamic and Di?usion Models Derived from the Entropy Principle. - Thomas Yizhao Hou (Caltech, Los Angeles, USA) Multiscale Com- tations for Flow and Transport in Heterogeneous Media. This book contains the texts of the four series of lectures presented at the Summer School. Here follows a brief description of the subjects of these courses.

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Contenu

Nombre de pages :
260
Langue:
Anglais
Collection :
Tome:
n° 1946

Caractéristiques

EAN:
9783540795735
Date de parution :
13-08-08
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
155 mm x 234 mm
Poids :
408 g

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