03541nam 2200661 a 450 991048417500332120251117065029.09783540795742354079574X10.1007/978-3-540-79574-2(CKB)1000000000437228(SSID)ssj0000319715(PQKBManifestationID)11247496(PQKBTitleCode)TC0000319715(PQKBWorkID)10338229(PQKB)10883561(DE-He213)978-3-540-79574-2(MiAaPQ)EBC3068707(PPN)127055835(EXLCZ)99100000000043722820080417d2008 uy 0engurnn|008mamaatxtccrQuantum transport modelling analysis and asymptotics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006 /by Gregoire Allaire ... [et al.] ; editors, Naoufel Ben Abdallah, Giovanni Frosali1st ed. 2008.Berlin Springerc20081 online resource (XIV, 260 p. 57 illus.) Lecture notes in mathematics,0075-8434 ;1946Bibliographic Level Mode of Issuance: Monograph9783540795735 3540795731 Includes bibliographical references.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.Lecture notes in mathematics (Springer-Verlag) ;1946.Quantum electrodynamicsCongressesEvolution equationsAsymptotic theoryCongressesQuantum theoryMathematical modelsCongressesTransport theoryMathematical modelsCongressesQuantum electrodynamicsEvolution equationsAsymptotic theoryQuantum theoryMathematical modelsTransport theoryMathematical models530.1433Allaire Grégoire352319Ben-Abdallah Naoufel1759630Frosali Giovanni514512C.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"MiAaPQMiAaPQMiAaPQBOOK9910484175003321Quantum transport4198203UNINA