Multiconfiguration hartree-fock theory for pseudorelativistic systems: The time-dependent case

Hichem Hajaiej, Peter A. Markowich, Saber Trabelsi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In [Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations, Arch. Ration. Mech. Anal. 198 (2010) 273-330] the third author has studied in collaboration with Bardos, Catto and Mauser the nonrelativistic multiconfiguration time-dependent Hartree-Fock system of equations arising in the modeling of molecular dynamics. In this paper, we extend the previous work to the case of pseudorelativistic atoms. We show the existence and the uniqueness of global-in-time solution to the underlying system under technical assumptions on the energy of the initial data and the charge of the nucleus. Moreover, we prove that the result can be extended to the case of neutron stars when the number of electrons is less than a critical number N cr. © 2014 World Scientific Publishing Company.
Original languageEnglish (US)
Pages (from-to)599-626
Number of pages28
JournalMathematical Models and Methods in Applied Sciences
Volume24
Issue number03
DOIs
StatePublished - Dec 29 2013

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

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