On the thermodynamic limit for Hartree-Fock type models

Isabelle Catto (1) , Claude Le Bris (2) , Pierre Louis Lions (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique

We continue here our study [10–13] of the thermodynamic limit for various models of Quantum Chemistry, this time focusing on the Hartree–Fock type models. For the reduced Hartree–Fock models, we prove the existence of the thermodynamic 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-posed.

Domaines: Equations aux dérivées partielles [math.AP]

Isabelle Catto, Claude Le Bris, Pierre Louis Lions. On the thermodynamic limit for Hartree-Fock type models. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2001, 18 (6), pp.687-760. ⟨hal-00157679⟩