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＜電子ブック＞
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, Anton Arnold, Pierre Degond, Thomas Y. Hou ; edited by Ben Abdallah Naoufel, Giovanni Frosali
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1946)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XIV, 260 p. 57 illus : online resource
著者標目	*Allaire, Grégoire author Arnold, Anton author Degond, Pierre author Hou, Thomas Y author Naoufel, Ben Abdallah editor Frosali, Giovanni editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Quantum physics LCSH:Mechanics LCSH:Continuum mechanics FREE:Differential Equations FREE:Quantum Physics FREE:Classical Mechanics FREE:Continuum Mechanics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-540-79574-2

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