Semiclassical, t → ∞ asymptotics and dispersive effects for Hartree-Fock systems dedicated to Helmut Neunzert at the occasion of his 60th birthday

I. Gasser*, R. Illner, Peter Markowich, C. Schmeiser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We analyze the semiclassical limit and the "t → ∞ asymptotics" of mildly nonlinear Schrödinger systems of (self-consistent) Hartree-Fock form. Using Wigner-funclion techniques we prove that the semiclassical limit is represented by the self-consistent Vlasov equation. Moreover we prove time decay for the position density and for the Hartree-potential in Lp norms as t → ∞.

Original languageEnglish (US)
Pages (from-to)699-713
Number of pages15
JournalMathematical Modelling and Numerical Analysis
Volume32
Issue number6
DOIs
StatePublished - Jan 1 1998

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Semiclassical, t → ∞ asymptotics and dispersive effects for Hartree-Fock systems dedicated to Helmut Neunzert at the occasion of his 60th birthday'. Together they form a unique fingerprint.

Cite this