Semi-classical limit of a Schrödinger equation for a stratified material
type: Item
instance of: scholarly article
title: Semi-classical limit of a Schrödinger equation for a stratified material
zbMATH Open document ID: 0963.81020
author: P. Bechouche
author: F. Poupaud
published in: Monatshefte für Mathematik
publication date: 2001-07-03T00:00:00Z
review text: The paper develops new methods to analyze semiclassical transport properties in stratified periodic structures, appropriate for solid state physics. The asymptotic behavior of the dynamics of electrons is investigated by a combination of Wigner transform and Bloch decomposition techniques. A semiclassical limit of solutions of the Schrödinger-Cauchy problem is found to be determined by solution of infinitely many transport (Vlasov) equations. This result is given in terms of limits of Wigner transforms, whose convergence is kept under control.
reviewed by: Piotr Garbaczewski
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35B27
zbMATH DE Number: 1463413
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: periodic systems
zbMATH Keywords: asymptotic limit
zbMATH Keywords: Wigner transform
zbMATH Keywords: Bloch decomposition
zbMATH Keywords: Floquet space
MaRDI profile type: Publication
full work available at URL: s006050050076
OpenAlex ID: W2058457677
DOI: 10.1007/S006050050076
description: scientific article; zbMATH DE number 1463413