Semi-classical limit of a Schrodinger equation for a stratified material

被引：8

作者：

Bechouche, P ^{[1
]}

Poupaud, F ^{[1
]}

机构：

[1] Univ Nice, UMR 6621 CNRS, Lab JA Dieudonne, F-06108 Nice, France

来源：

MONATSHEFTE FUR MATHEMATIK | 2000年 / 129卷 / 04期

关键词：

semiclassical limit; Wigner means uses; Bloch waves; stratified material;

D O I：

10.1007/s006050050076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the semi-classical limit of the dynamic of electrons in a stratified medium. The medium is assumed to be periodic in one direction and slowly varying in the other directions. In this case, a small parameter epsilon. is introduced and corresponds both to the Planck constant and to scaled lattice thickness. The limit behavior is studied by means of Wigner measures. The limit process is described by infinitely many transport (Vlasov) equations.

引用

页码：281 / 301

页数：21

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