On the thermodynamic limit for Hartree and Hartree-Fock type models

被引:12
|
作者
Catto, I
Le Bris, C
Lions, PL
机构
[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France
[2] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Champs Sur Marne, Marne La Vallee, France
关键词
D O I
10.1016/S0764-4442(98)80143-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We early on here our study [4], [5] of the thermodynamic limit for various models of Quantum Chemistry, focusing on Hai-tree and Hartree-Fock type models. For the restricted Hartree and the reduced Hartree-Fock models, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define periodic problems associated to the Hartree and Hartree-Fock models, and prove that they are bath mathematically well-posed. (C) Academie des Sciences/Elsevier, Paris
引用
收藏
页码:259 / 266
页数:8
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