A Wignerfunction approach to phonon scattering

Florian Frommlet, Peter A. Markowich, Christian Ringhofer

Research output: Contribution to journalArticle

21 Scopus citations


We consider the motion of a single electron under phonon scattering caused by a crystal lattice. Starting from the Fröhlich Hamiltonian in the second quantization formalism we derive a kinetic transport model by using the Wigner transformation. Under the assumption of small electron-phonon interaction we derive asymptotically the operator representing electron-phonon scattering in the Wigner equation. We then consider some scaling limits and finally we give the connection of our result to the well known Barker-Ferry equation.

Original languageEnglish (US)
Pages (from-to)339-350
Number of pages12
JournalVLSI Design
Issue number4
StatePublished - Dec 1 1999


  • Phonon scattering
  • Second quantization
  • Weak interaction asymptotics
  • Wigner transformation

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering

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  • Cite this

    Frommlet, F., Markowich, P. A., & Ringhofer, C. (1999). A Wignerfunction approach to phonon scattering. VLSI Design, 9(4), 339-350.