On the thermodynamic limit for Hartree-Fock type models

Authors
Catto, I Le Bris, C Lions, PL
Citation
I. Catto et al., On the thermodynamic limit for Hartree-Fock type models, ANN IHP-AN, 18(6), 2001, pp. 687-760
Citations number
57
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN journal
02941449 → ACNP
Volume
18
Issue
6
Year of publication
2001
Pages
687 - 760
Database
ISI
SICI code
0294-1449(200111/12)18:6<687:OTTLFH>2.0.ZU;2-K
Abstract
We continue here cur study [10-13] of the thermodynamic limit for various m odels of Quantum Chemistry, this time focusing on the Hartree-Fock type mod els. For the reduced Hartree-Fock models, we prove the existence of the the rmodynamic limit for the energy per unit volume. We also define a periodic problem associated to the Hartree-Fock model, and prove that it is well-pos ed. (C) 2001 editions scientifiques et medicales Elsevier SAS.