Open AccessWigner series and (semi)classical limits with periodic potentials
Author(s) -
Peter A. Markowich,
Norbert J. Mauser,
Frédéric Poupaud
Publication year - 1993
Publication title -
journées équations aux dérivées partielles
Language(s) - English
Resource type - Journals
eISSN - 2118-9366
pISSN - 0752-0360
DOI - 10.5802/jedp.453
Subject(s) - series (stratigraphy) , statistical physics , mathematics , calculus (dental) , physics , geology , paleontology , medicine , dentistry
We present a rigorous derivation of the semiclassical Liouville equation for electrons which move in a crystal lattice (without the influence of an external field). The approach is based on carrying out the semiclassical limit in the band structure Wignerequation. The semiclassical macroscopic densities are also obtained as limits of the corresponding quantum quantities.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom