The self-consistent Bloch-equation in one dimension

Norbert Mauser*, Anton Arnold, Peter A. Markowich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We give a mathematical analysis of a simplified model to calculate an equilibrium density matrix of electrons. Under the assumption of Boltzmann statistics, the Bloch equation is coupled to the Poisson equation. Existence and uniqueness of a solution of the resulting non-linear parabolic equation is proven.

Original languageEnglish (US)
Pages (from-to)197-202
Number of pages6
JournalComputers and Mathematics with Applications
Issue number2-3
StatePublished - 1991
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Modeling and Simulation


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