LEADER 04293nam 22007335 450 001 996466381403316 005 20200706192331.0 010 $a3-540-79574-X 024 7 $a10.1007/978-3-540-79574-2 035 $a(CKB)1000000000437228 035 $a(SSID)ssj0000319715 035 $a(PQKBManifestationID)11247496 035 $a(PQKBTitleCode)TC0000319715 035 $a(PQKBWorkID)10338229 035 $a(PQKB)10883561 035 $a(DE-He213)978-3-540-79574-2 035 $a(MiAaPQ)EBC3068707 035 $a(PPN)127055835 035 $a(EXLCZ)991000000000437228 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum Transport$b[electronic resource] $eModelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11?16, 2006 /$fby Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou ; edited by Ben Abdallah Naoufel, Giovanni Frosali 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (XIV, 260 p. 57 illus.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1946 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-79573-1 320 $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 $aThe CIME Summer School held in Cetraro, Italy, in 2006 addressed researchers interested in the mathematical study of quantum transport models. In this volume, a result of the above mentioned Summer School, four leading specialists present different aspects of quantum transport modelling. Allaire introduces the periodic homogenization theory, with a particular emphasis on applications to the Schrödinger equation. Arnold focuses on several quantum evolution equations that are used for quantum semiconductor device simulations. Degond presents quantum hydrodynamic and diffusion models starting from the entropy minimization principle. Hou provides the state-of-the-art survey of the multiscale analysis, modelling and simulation of transport phenomena. The volume contains accurate expositions of the main aspects of quantum transport modelling and provides an excellent basis for researchers in this field. 410 0$aC.I.M.E. Foundation Subseries ;$v1946 606 $aPartial differential equations 606 $aQuantum physics 606 $aMechanics 606 $aFluids 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 615 0$aPartial differential equations. 615 0$aQuantum physics. 615 0$aMechanics. 615 0$aFluids. 615 14$aPartial Differential Equations. 615 24$aQuantum Physics. 615 24$aClassical Mechanics. 615 24$aFluid- and Aerodynamics. 676 $a530.1433 700 $aAllaire$b Grégoire$4aut$4http://id.loc.gov/vocabulary/relators/aut$0352319 702 $aArnold$b Anton$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aDegond$b Pierre$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aHou$b Thomas Y$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aNaoufel$b Ben Abdallah$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFrosali$b Giovanni$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aC.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics" 906 $aBOOK 912 $a996466381403316 996 $aQuantum transport$9230617 997 $aUNISA