Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : We describe in this paper a strategy, the so-called thermodynamic limit process, to build in a rigorous mathematical manner 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. We shall in particular report on some new results on the so-called crystal problem within the framework of Thomas-Fermi type models.
 
 
RECENT MATHEMATICAL RESULT ON THE QUANTUM MODELING OF CRYSTALS
CATTO Isabelle, LE BRIS C., LIONS Pierre-Louis
2000-14
06-04-2000
 
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