A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential

Peter Markowich*, N. J. Mauser, F. Poupaud

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Scopus citations

Abstract

A rigorous derivation of the semiclassical Liouville equation for electrons which move in a crystal lattice (without the influence of an external field) is presented herein. The approach is based on carrying out the semiclassical limit in the band-structure Wigner equation. The semiclassical macroscopic densities are also obtained as limits of the corresponding quantum quantities.

Original languageEnglish (US)
Pages (from-to)1066-1094
Number of pages29
JournalJournal of Mathematical Physics
Volume35
Issue number3
DOIs
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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