The Wigner-Poisson problem in a crystal

A. Arnold; P. Degond; P. A. Markowich; H. Steinrück

doi:10.1016/0893-9659(89)90019-0

The Wigner-Poisson problem in a crystal

A. Arnold^*, P. Degond, P. A. Markowich, H. Steinrück

^*Corresponding author for this work

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

8 Scopus citations

Abstract

We present a model for the transport of electrons in semiconductors. The model consists of an energy-band version of the Quantum Liouville (Wigner) equation coupled to a discrete Poisson equation.

Original language	English (US)
Pages (from-to)	187-191
Number of pages	5
Journal	Applied Mathematics Letters
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/0893-9659(89)90019-0
State	Published - 1989
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(89)90019-0

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title = "The Wigner-Poisson problem in a crystal",

abstract = "We present a model for the transport of electrons in semiconductors. The model consists of an energy-band version of the Quantum Liouville (Wigner) equation coupled to a discrete Poisson equation.",

author = "A. Arnold and P. Degond and Markowich, {P. A.} and H. Steinr{\"u}ck",

year = "1989",

doi = "10.1016/0893-9659(89)90019-0",

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pages = "187--191",

journal = "Applied Mathematics Letters",

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T1 - The Wigner-Poisson problem in a crystal

AU - Arnold, A.

AU - Degond, P.

AU - Markowich, P. A.

AU - Steinrück, H.

PY - 1989

Y1 - 1989

N2 - We present a model for the transport of electrons in semiconductors. The model consists of an energy-band version of the Quantum Liouville (Wigner) equation coupled to a discrete Poisson equation.

AB - We present a model for the transport of electrons in semiconductors. The model consists of an energy-band version of the Quantum Liouville (Wigner) equation coupled to a discrete Poisson equation.

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U2 - 10.1016/0893-9659(89)90019-0

DO - 10.1016/0893-9659(89)90019-0

M3 - Article

AN - SCOPUS:0037838643

SN - 0893-9659

VL - 2

SP - 187

EP - 191

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 2

ER -

The Wigner-Poisson problem in a crystal

Abstract

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