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Quantum Transport

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

Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou (Autoren)

Ben Abdallah Naoufel, Giovanni Frosali (Herausgeber)

Buch | Softcover

XIV, 260 Seiten

2008 | 2008
Springer Berlin (Verlag)
978-3-540-79573-5 (ISBN)

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In this volume, a result of The CIME Summer School held in Cetraro, Italy, in 2006, four leading specialists present different aspects of quantum transport modeling. It provides an excellent basis for researchers in this field.

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.

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.

Erscheint lt. Verlag	13.8.2008
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XIV, 260 p. 57 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	400 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
Schlagworte	35Q40, 82C70, 76Y05, 35J10, 76M12, 76M50 • Computation • Entropy • Evolution • Excel • fluid- and aerodynamics • homogenization • Homogenization theory • Mathematica • Modelling • Multiple scale problems • open quantum system • Open Quantum Systems • Partial differential equations • Quantum evolution equations. • Schrödinger equation • Theorem • Volume
ISBN-10	3-540-79573-1 / 3540795731
ISBN-13	978-3-540-79573-5 / 9783540795735
Zustand	Neuware