
Recent mathematical results on the quantum modeling of crystals
Catto, Isabelle; Lions, Pierre-Louis; Le Bris, Claude (2000), Recent mathematical results on the quantum modeling of crystals, in Mireille Defranceschi, Claude Le Bris, Mathematical models and methods for ab initio quantum chemistry, Springer : Berlin Heidelberg, p. 95-120. 10.1007/978-3-642-57237-1_5
Type
Chapitre d'ouvrageDate
2000Book title
Mathematical models and methods for ab initio quantum chemistryBook author
Mireille Defranceschi, Claude Le BrisPublisher
Springer
Published in
Berlin Heidelberg
ISBN
978-3-540-67631-7
Pages
95-120
Publication identifier
Metadata
Show full item recordAbstract (EN)
We describe in this paper a strategy, the so-called thermodynamic limit process, to build in a rigorous mathematical manner the quantum-mechanical models for the ground-state energy of solid crystals. These models are the analogues for the solid state of well-known models issued from Quantum Chemistry, namely Thomas-Fermi, Hartree and Hartree-Fock type models. We shall present a broad overview on recent mathematical studies on this topic.Subjects / Keywords
Density functional theory; Hartree model; Hartree-Fock modelsRelated items
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