Quantum Transport
Allaire, Grégoire.
Quantum Transport Modelling, Analysis and Asymptotics — Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11–16, 2006 / [electronic resource] : by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Yizhao Hou ; edited by Naoufel Ben Abdallah, Giovanni Frosali. - XIV, 260 p. 57 illus. online resource. - C.I.M.E. Foundation Subseries ; 1946 . - C.I.M.E. Foundation Subseries ; 1946 .
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.
9783540795742
10.1007/978-3-540-79574-2 doi
Differential equations, partial.
Quantum theory.
Mechanics.
Partial Differential Equations.
Quantum Physics.
Classical Mechanics.
Fluid- and Aerodynamics.
QA370-380
515.353
Quantum Transport Modelling, Analysis and Asymptotics — Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11–16, 2006 / [electronic resource] : by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Yizhao Hou ; edited by Naoufel Ben Abdallah, Giovanni Frosali. - XIV, 260 p. 57 illus. online resource. - C.I.M.E. Foundation Subseries ; 1946 . - C.I.M.E. Foundation Subseries ; 1946 .
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.
9783540795742
10.1007/978-3-540-79574-2 doi
Differential equations, partial.
Quantum theory.
Mechanics.
Partial Differential Equations.
Quantum Physics.
Classical Mechanics.
Fluid- and Aerodynamics.
QA370-380
515.353