Quantum Transport [electronic resource] : Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006 /
Allaire, Grégoire.author.
C.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"Corporate Author
C.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"(2006 :Cetraro, Italy)
C.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"
Arnold, Anton.author.
Degond, Pierre.author.
Hou, Thomas Y.author.
Naoufel, Ben Abdallah.editor.
Frosali, Giovanni.editor.
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.
Bibliographic Level Mode of Issuance: Monograph
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.
Partial differential equations.
Quantum physics.
Mechanics.
Fluids.
Partial Differential Equations.
Quantum Physics.
Classical Mechanics.
Fluid- and Aerodynamics.