Quantum transport : modelling, analysis and asymptotics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006

書誌事項

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 ... [et al.] ; editors: Naoufel Ben Abdallah, Giovanni Frosali

(Lecture notes in mathematics, 1946)

Springer, c2008

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注記

"Frondazione C.I.M.E."

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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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詳細情報
  • NII書誌ID(NCID)
    BA86869893
  • ISBN
    • 9783540795735
  • LCCN
    2008927357
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    xiv, 251 p.
  • 大きさ
    24 cm
  • 親書誌ID
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