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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: Lecture Notes in Mathematics, cartea 1946

Autor Grégoire Allaire Editat de Ben Abdallah Naoufel Autor Anton Arnold Editat de Giovanni Frosali Autor Pierre Degond, Thomas Y. Hou
en Limba Engleză Paperback – 13 aug 2008

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Specificații

ISBN-13: 9783540795735
ISBN-10: 3540795731
Pagini: 276
Ilustrații: XIV, 260 p. 57 illus.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.41 kg
Ediția:2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Periodic Homogenization and Effective Mass Theorems for the Schrödinger 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.

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras