1.

Record Nr.

UNINA9910484175003321

Titolo

Quantum 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 Frosali

Pubbl/distr/stampa

Berlin, : Springer, c2008

ISBN

9783540795742

354079574X

Edizione

[1st ed. 2008.]

Descrizione fisica

1 online resource (XIV, 260 p. 57 illus.)

Collana

Lecture notes in mathematics, , 0075-8434 ; ; 1946

Altri autori (Persone)

AllaireGrégoire

Ben-AbdallahNaoufel

FrosaliGiovanni

Disciplina

530.1433

Soggetti

Quantum electrodynamics

Evolution equations - Asymptotic theory

Quantum theory - Mathematical models

Transport theory - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.