Mathematical study of quantum and classical models for random materials in the atomic scale
Mathematical study of quantum and classical models for random materials in the atomic scale
The contributions of this thesis concern two topics. The ļ¬rst part is dedicated to the study of mean-ļ¬eld models for the electronic structure of materials with defects. In Chapter 2, we introduce and study the reduced Hartree-Fock (rHF) model for disordered crystals. We prove the existence of a ground state ā¦