Quantum hydrodynamic models in semiconductor crystals

F. Poupaud, Christian Ringhofer

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We derive the Schrödinger and the Wigner equations for electrons in a crystal in the presence of an external force via spectral projection techniques. It is shown that the mixing of energy bands, due to the external force, can be treated as a small perturbation. The corresponding single state fluid dynamical equation, the quantum hydrodynamical model in a crystal, is derived.

Original languageEnglish (US)
Pages (from-to)55-59
Number of pages5
JournalApplied Mathematics Letters
Issue number6
StatePublished - Nov 1995


  • Quantum hydrodynamics
  • Schrödinger equations
  • Semiclassical models
  • Semiconductors
  • Wigner functions

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Quantum hydrodynamic models in semiconductor crystals'. Together they form a unique fingerprint.

Cite this