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PRINTED BOOKS
Author C.I.M.E. Summer School on "Quantum Transport - Modelling Analysis and Asymptotics" (2006 : Cetraro, Italy)

Title Quantum transport : modelling analysis and asymptotics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006 / by Grégoire Allaire ... [and others] ; volume editors, Ben Abdallah Naoufel, Giovanni Frosali.

Published Berlin ; London : Springer, 2008.

Copies

Location Call No. Status
 UniM ERC  510 LECT  no.1946    AVAILABLE
Physical description xiv, 251 pages ; 23 cm.
Series Lecture notes in mathematics ; 1946.
Lecture notes in mathematics ; 1946.
Notes Conference proceedings.
Contents Periodic Homogenization and Effective Mass Theorems for the Schrodinger Equation / Gregoire Allaire 1 -- 2 Asymptotic Expansions in Periodic Homogenization 2 -- 3 Two-Scale Convergence 7 -- 4 Application to Homogenization 11 -- 5 Bloch Waves 13 -- 6 Schrodinger Equation in Periodic Media 19 -- 7 Semiclassical Analysis and WKB Ansatz 20 -- 8 Homogenization Without Drift 23 -- 9 Generalization with Drift 30 -- 10 Homogenized System of Equations 33 -- 11 Localization 36 -- Mathematical Properties of Quantum Evolution Equations / Anton Arnold 45 -- 1 Quantum Transport Models for Semiconductor Nano-Devices 47 -- 2 Linear Schrodinger Equation 59 -- 3 Schrodinger-Poisson Analysis in R[superscript 3] 64 -- 4 Density Matrices 70 -- 5 Wigner Function Models 78 -- 6 Open Quantum Systems in Lindblad Form 90 -- 7 Wigner Boundary Value Problems 100 -- Quantum Hydrodynamic and Diffusion Models Derived from the Entropy Principle / Pierre Degond, Samy Gallego, Florian Mehats, Christian Ringhofer 111 -- 2 Quantum Kinetic Equations: An Introduction 112 -- 3 Quantum Hydrodynamic Models Derived from the Entropy Principle 124 -- 4 Quantum Diffusion Models 144 -- Multiscale Computations for Flow and Transport in Heterogeneous Media / Yalchin Efendiev, Thomas Y. Hou 169 -- 2 Review of Homogenization Theory 171 -- 3 Numerical Upscaling Based on Multiscale Finite Element Methods 179 -- 4 Multiscale Finite Element Methods for Nonlinear Partial Differential Equations 223 -- 5 Multiscale Simulations of Two-Phase Immiscible Flow in Adaptive Coordinate System 237.
Other author Allaire, Grégoire.
Naoufel, Ben Abdallah.
Frosali, Giovanni.
Subject Quantum electrodynamics -- Mathematical models -- Congresses.
Evolution equations -- Asymptotic theory -- Congresses.
ISBN 9783540795735 (paperback)
3540795731 (paperback)