On some periodic Hartree-type models for crystals

On some periodic Hartree-type models for crystals

We continue here our study of the thermodynamic limit for various models of Quantum Chemistry. More specifically, we study the Hartree and the restricted Hartree model. For the restricted Hartree model, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define...

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Veröffentlicht in:Annales de l'Institut Henri Poincaré. Analyse non linéaire 2002, Vol.19 (2), p.143-190
Hauptverfasser: Catto, I., Le Bris, C., Lions, P.-L.
Format: Artikel
Sprache:eng
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Analysis of PDEs
Calculus of variations and optimal control
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
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container_end_page 190
container_issue 2
container_start_page 143
container_title Annales de l'Institut Henri Poincaré. Analyse non linéaire
container_volume 19
creator Catto, I.
Le Bris, C.
Lions, P.-L.
description We continue here our study of the thermodynamic limit for various models of Quantum Chemistry. More specifically, we study the Hartree and the restricted Hartree model. For the restricted Hartree model, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define a periodic problem associated to the Hartree model, and we prove that it is well-posed. Nous poursuivons dans cet article notre étude systématique de la limite thermodynamique de divers modèles issus de la Chimie Quantique Moléculaire. Nous étudions plus spécifiquement les modèles de Hartree et de Hartree restreint. Pour le modèle de Hartree restreint, nous prouvons l'existence de la limite thermodynamique de l'énergie par unité de volume. Nous définissons également un modèle périodique associé au modèle de Hartree, et nous démontrons qu'il est bien posé.
doi_str_mv 10.1016/S0294-1449(01)00071-3
format Article
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source Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; NUMDAM; European Mathematical Society Publishing House
subjects Analysis of PDEs
Calculus of variations and optimal control
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
title On some periodic Hartree-type models for crystals
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