Quantum hydrodynamics for semiconductors in the high-field case

Peter Markowich*, C. Ringhofer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We derive a quantum hydrodynamic model from a relaxation time approximation of the quantum Boltzmann equation by mean-free path asymptotics. The (formal) asymptotics are carried out in the case of a large electric field. They give a linear model for the position, current and energy densities of the electron gas.

Original languageEnglish (US)
Pages (from-to)37-41
Number of pages5
JournalApplied Mathematics Letters
Issue number5
StatePublished - Jan 1 1994


  • Moment hierarchy
  • Quantum Boltzmann equation
  • Small mean free path asymptotics

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Applied Mathematics
  • Numerical Analysis


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