Quantum Transport - Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11-16, 2006

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.

List of contents

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.

Product details

• Authors: Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou
• Assisted by: Giovanni Frosali (Editor), Ben Abdallah Naoufel (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 13.08.2008
• EAN: 9783540795735
• ISBN: 978-3-540-79573-5
• No. of pages: 260
• Weight: 444 g
• Illustrations: XIV, 260 p. 57 illus.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Quantenphysik (Quantenmechanik und Quantenfeldtheorie), Klassische Mechanik, Modelling, Theorem, Mathematics and Statistics, Classical mechanics, Quantum Physics, Quantum physics (quantum mechanics & quantum field theory), Mechanics, Fluid mechanics, Fluid- and Aerodynamics, Fluids, Partial Differential Equations, Differential equations, Continuum Mechanics, open quantum system