TY  - BOOK
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ED  - SpringerLink (Online service)
TI  - Quantum Transport: Modelling, Analysis and Asymptotics  Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 1116, 2006 
T2  - Lecture Notes in Mathematics,
SN  - 9783540795742
AV  - QA370-380 
U1  - 515.353 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differential equations, partial
KW  - Quantum theory
KW  - Mechanics
KW  - Partial Differential Equations
KW  - Quantum Physics
KW  - Fluid- and Aerodynamics
N1  - Periodic Homogenization and Effective Mass Theorems for the Schrȵdinger 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; ZDB-2-SMA; ZDB-2-LNM
N2  - 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 Schrȵdinger 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
UR  - http://dx.doi.org/10.1007/978-3-540-79574-2
ER  -