Quantum correction to the semiclassical electron-phonon scattering operator

V. Sverdlov, H. Kosina, Christian Ringhofer, M. Nedjalkov, S. Selberherr

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A quantum kinetic equation approach is adopted in order to incorporate quantum effects such as collisional broadening due to finite lifetime of single particle states, and collisional retardation due to finite collision time. A quantum correction to the semiclassical electron distribution function is obtained using an asymptotic expansion for the quantum electron-phonon collision operator in its weak formulation. Based on this expansion, the evolution of a highly peaked, nonequilibrium distribution function in Si and Ge is analyzed. It is shown that in Ge and Si, where the electron-phonon interaction is weak, the quantum correction due to the finite collision time leads to an extra broadening of new replicas of the initial distribution function. As the observation time exceeds the collision duration, the quantum correction starts to diminish and the semiclassical solution for a particular replica is recovered.

Original languageEnglish (US)
Title of host publicationLarge-Scale Scientific Computing - 5th International Conference, LSSC 2005, Revised Papers
Number of pages8
StatePublished - 2006
Event5th International Conference on Large-Scale Scientific Computing, LSSC 2005 - Sozopol, Bulgaria
Duration: Jun 6 2005Jun 10 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3743 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other5th International Conference on Large-Scale Scientific Computing, LSSC 2005

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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