Quantum Transport : Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006 Paperback / softback
by Gregoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou
Edited by Ben Abdallah Naoufel, Giovanni Frosali
Part of the C.I.M.E. Foundation Subseries series
Paperback / softback
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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Item not Available
- Format:Paperback / softback
- Pages:260 pages, 15 Tables, black and white; 57 Illustrations, black and white; XIV, 260 p. 57 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:13/08/2008
- Category:
- ISBN:9783540795735
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Information
-
Item not Available
- Format:Paperback / softback
- Pages:260 pages, 15 Tables, black and white; 57 Illustrations, black and white; XIV, 260 p. 57 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:13/08/2008
- Category:
- ISBN:9783540795735
