A WIGNER-FUNCTION APPROACH TO (SEMI)CLASSICAL LIMITS - ELECTRONS IN APERIODIC POTENTIAL

Authors
MARKOWICH PA MAUSER NJ POUPAUD F
Citation
Pa. Markowich et al., A WIGNER-FUNCTION APPROACH TO (SEMI)CLASSICAL LIMITS - ELECTRONS IN APERIODIC POTENTIAL, Journal of mathematical physics, 35(3), 1994, pp. 1066-1094
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
3
Year of publication
1994
Pages
1066 - 1094
Database
ISI
SICI code
0022-2488(1994)35:3<1066:AWAT(L>2.0.ZU;2-H
Abstract
A rigorous derivation of the semiclassical Liouville equation for elec trons which move in a crystal lattice (without the influence of an ext ernal field) is presented herein. The approach is based on carrying ou t the semiclassical limit in the band-structure Wigner equation. The s emiclassical macroscopic densities are also obtained as limits of the corresponding quantum quantities.