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200 10$aQuantum transport $emodelling analysis and asymptotics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006 /$fby Gregoire Allaire ... [et al.] ; editors, Naoufel Ben Abdallah, Giovanni Frosali
205   $a1st ed. 2008.
210   $aBerlin $cSpringer$dc2008
215   $a1 online resource (XIV, 260 p. 57 illus.) 
225 1 $aLecture notes in mathematics,$x0075-8434 ;$v1946
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a9783540795735 
311 08$a3540795731 
320   $aIncludes bibliographical references.
327   $aPeriodic 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.
330   $aThe CIME Summer School held in Cetraro, Italy, in 2006 addressed researchers interested in the mathematical study of quantum transport models. In this volume, a result of the above mentioned Summer School, four leading specialists present different aspects of quantum transport modelling. Allaire introduces the periodic homogenization theory, with a particular emphasis on applications to the Schrödinger equation. Arnold focuses on several quantum evolution equations that are used for quantum semiconductor device simulations. Degond presents quantum hydrodynamic and diffusion models starting from the entropy minimization principle. Hou provides the state-of-the-art survey of the multiscale analysis, modelling and simulation of transport phenomena. The volume contains accurate expositions of the main aspects of quantum transport modelling and provides an excellent basis for researchers in this field.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1946.
606   $aQuantum electrodynamics$vCongresses
606   $aEvolution equations$xAsymptotic theory$vCongresses
606   $aQuantum theory$xMathematical models$vCongresses
606   $aTransport theory$xMathematical models$vCongresses
615  0$aQuantum electrodynamics
615  0$aEvolution equations$xAsymptotic theory
615  0$aQuantum theory$xMathematical models
615  0$aTransport theory$xMathematical models
676   $a530.1433
701   $aAllaire$b Gre?goire$0352319
701   $aBen-Abdallah$b Naoufel$01759630
701   $aFrosali$b Giovanni$0514512
712 12$aC.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484175003321
996   $aQuantum transport$94198203
997   $aUNINA