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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 (Paperback, 2008 ed.)
Loot Price: R1,516
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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 (Paperback, 2008 ed.)
Series: C.I.M.E. Foundation Subseries, 1946
Expected to ship within 10 - 15 working days
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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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