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
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 327卷 / 03期
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
相关论文
共 50 条
  • [1] On the thermodynamic limit for Hartree-Fock type models
    Catto, I
    Le Bris, C
    Lions, PL
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2001, 18 (06): : 687 - 760
  • [2] HARTREE-FOCK IN THE THERMODYNAMIC LIMIT
    DOHNERT, L
    DELLANO, M
    PLASTINO, A
    [J]. ACTA CIENTIFICA VENEZOLANA, 1978, 29 : 72 - 72
  • [3] HARTREE-FOCK STATES IN THERMODYNAMIC LIMIT
    LLANO, MD
    PLASTINO, A
    [J]. PHYSICAL REVIEW A, 1976, 13 (04) : 1633 - 1640
  • [4] EXPLICIT NONTRIVIAL HARTREE-FOCK SOLUTIONS IN THERMODYNAMIC LIMIT
    DELLANO, M
    PLASTINO, A
    [J]. LETTERE AL NUOVO CIMENTO, 1975, 13 (12): : 468 - 470
  • [5] THERMAL HARTREE-FOCK IN THE THERMODYNAMIC LIMIT - STATISTICAL APPROACH
    CIVITARESE, O
    DEPAOLI, AL
    PLASTINO, A
    [J]. ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1982, 305 (04): : 341 - 346
  • [6] A SYSTEMATIC-APPROACH TO THE HARTREE-FOCK PROBLEM IN THE THERMODYNAMIC LIMIT
    GUTIERREZ, G
    PLASTINO, A
    [J]. ANNALS OF PHYSICS, 1981, 133 (02) : 332 - 354
  • [7] Liouville type theorems for Hartree and Hartree-Fock equations
    Yang, Jianfu
    Yu, Xiaohui
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 183 : 191 - 213
  • [8] Note on the Hartree and Hartree-Fock methods
    Frank, NH
    [J]. PHYSICAL REVIEW, 1937, 51 (07): : 577 - 583
  • [9] Approaching the Hartree-Fock limit by perturbative methods
    Deng, Jia
    Gilbert, Andrew T. B.
    Gill, Peter M. W.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (23):
  • [10] THERMODYNAMIC HARTREE-FOCK APPROXIMATION IN FERMI SYSTEMS
    DIETZE, HD
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1979, 35 (02): : 193 - 197
12345