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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1946)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
Authors, Editors and Affiliations
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Institut de Mathématiques, Université de Toulouse, Toulouse Cedex 9, France
Naoufel Ben Abdallah, Pierre Degond
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Dipartimento di Matematica Applicata, Università di Firenze, Firenze, Italy
Giovanni Frosali
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Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau Cedex, France
Grégoire Allaire
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Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, Austria
Anton Arnold
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Applied and Computational Math. 217-50, California Institute of Technology, Pasadena, USA
Thomas Yizhao Hou
Bibliographic Information
Book Title: Quantum Transport
Book Subtitle: Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006
Authors: Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Yizhao Hou
Editors: Naoufel Ben Abdallah, Giovanni Frosali
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-79574-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-79573-5Published: 13 August 2008
eBook ISBN: 978-3-540-79574-2Published: 03 July 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 260
Number of Illustrations: 57 b/w illustrations
Topics: Partial Differential Equations, Quantum Physics, Classical Mechanics, Fluid- and Aerodynamics