ON THE THERMODYNAMIC LIMIT FOR HARTREE AND HARTREE-FOCK TYPE MODELS

Citation
I. Catto et al., ON THE THERMODYNAMIC LIMIT FOR HARTREE AND HARTREE-FOCK TYPE MODELS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(3), 1998, pp. 259-266
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
07644442
Volume
327
Issue
3
Year of publication
1998
Pages
259 - 266
Database
ISI
SICI code
0764-4442(1998)327:3<259:OTTLFH>2.0.ZU;2-L
Abstract
We early on here our study [4], [5] of the thermodynamic limit for var ious models of Quantum Chemistry, focusing on Hai-tree and Hartree-Foc k type models. For the restricted Hartree and the reduced Hartree-Fock models, we prove the existence of the thermodynamic limit for the ene rgy per unit volume. We also define periodic problems associated to th e Hartree and Hartree-Fock models, and prove that they are bath mathem atically well-posed. (C) Academie des Sciences/Elsevier, Paris