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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Bibliographic Information
Quantum transport : modelling, analysis and asymptotics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006
（Lecture notes in mathematics, 1946）
Springer, c2008
Available at / 58 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1946200006834273
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
Italy/2006-Q/Proc.2080189580
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Note
"Frondazione C.I.M.E."
Includes bibliographical references
Description and Table of Contents
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.
Table of Contents
Periodic Homogenization and Effective Mass Theorems for the Schroedinger Equation.- Mathematical Properties of Quantum Evolution Equations.- Quantum Hydrodynamic and Diffusion Models Derived from the Entropy Principle.- Multiscale Computations for Flow and Transport in Heterogeneous Media.
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