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

F. Brezzi*, I. Gasser, Peter Markowich, C. Schmeiser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 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 languageEnglish (US)
Pages (from-to)47-52
Number of pages6
JournalApplied Mathematics Letters
Volume8
Issue number1
DOIs
StatePublished - Jan 1 1995

Keywords

  • Quantum hydrodynamics
  • Thermal equilibrium

ASJC Scopus subject areas

  • Applied Mathematics

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