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

P. A. Markowich; N. J. Mauser; F. Poupaud

doi:10.1063/1.530629

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

P. A. Markowich^*, N. J. Mauser, F. Poupaud

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

91 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 language	English (US)
Pages (from-to)	1066-1094
Number of pages	29
Journal	Journal of Mathematical Physics
Volume	35
Issue number	3
DOIs	https://doi.org/10.1063/1.530629
State	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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

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.",

author = "Markowich, {P. A.} and Mauser, {N. J.} and F. Poupaud",

year = "1994",

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AU - Markowich, P. A.

AU - Mauser, N. J.

AU - Poupaud, F.

PY - 1994

Y1 - 1994

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AB - 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.

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U2 - 10.1063/1.530629

DO - 10.1063/1.530629

M3 - Article

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EP - 1094

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

ER -

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

Abstract

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