Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension

F. Brezzi; I. Gasser; P. A. Markowich; C. Schmeiser

doi:10.1016/0893-9659(94)00109-P

Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension

F. Brezzi^*, I. Gasser, P. A. Markowich, C. Schmeiser

^*Corresponding author for this work

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

30 Scopus citations

Abstract

The thermal equilibrium of the quantum hydrodynamic model for semiconductors is investigated in one space dimension. Existence is obtained using a fixed point argument. Uniqueness is proved for small values of the scaled Planck constant. The classical limit is also carried out.

Original language	English (US)
Pages (from-to)	47-52
Number of pages	6
Journal	Applied Mathematics Letters
Volume	8
Issue number	1
DOIs	https://doi.org/10.1016/0893-9659(94)00109-P
State	Published - Jan 1995
Externally published	Yes

Keywords

Quantum hydrodynamics
Thermal equilibrium

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(94)00109-P

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@article{061168713eb048678649cd9350bb267c,

title = "Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension",

abstract = "The thermal equilibrium of the quantum hydrodynamic model for semiconductors is investigated in one space dimension. Existence is obtained using a fixed point argument. Uniqueness is proved for small values of the scaled Planck constant. The classical limit is also carried out.",

keywords = "Quantum hydrodynamics, Thermal equilibrium",

author = "F. Brezzi and I. Gasser and Markowich, {P. A.} and C. Schmeiser",

year = "1995",

month = jan,

doi = "10.1016/0893-9659(94)00109-P",

language = "English (US)",

volume = "8",

pages = "47--52",

journal = "Applied Mathematics Letters",

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publisher = "Elsevier Ltd",

number = "1",

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T1 - Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension

AU - Brezzi, F.

AU - Gasser, I.

AU - Markowich, P. A.

AU - Schmeiser, C.

PY - 1995/1

Y1 - 1995/1

N2 - The thermal equilibrium of the quantum hydrodynamic model for semiconductors is investigated in one space dimension. Existence is obtained using a fixed point argument. Uniqueness is proved for small values of the scaled Planck constant. The classical limit is also carried out.

AB - The thermal equilibrium of the quantum hydrodynamic model for semiconductors is investigated in one space dimension. Existence is obtained using a fixed point argument. Uniqueness is proved for small values of the scaled Planck constant. The classical limit is also carried out.

KW - Quantum hydrodynamics

KW - Thermal equilibrium

UR - http://www.scopus.com/inward/record.url?scp=0001783609&partnerID=8YFLogxK

U2 - 10.1016/0893-9659(94)00109-P

DO - 10.1016/0893-9659(94)00109-P

M3 - Article

AN - SCOPUS:0001783609

SN - 0893-9659

VL - 8

SP - 47

EP - 52

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension

Abstract

Keywords

ASJC Scopus subject areas

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