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Existence of minimizers for the Dirac-Fock model of crystals - MaRDI portal

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Existence of minimizers for the Dirac-Fock model of crystals

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Publication:6507210

arXiv2212.01142MaRDI QIDQ6507210

Author name not available (Why is that?)


Abstract: Whereas many different models exist in the mathematical and physics literature for ground-states of non-relativistic crystals, the relativistic case has been much less studied and we are not aware of any mathematical result on a fully relativistic treatment of crystals. In this paper, we introduce a mean-field relativistic energy for crystals in terms of periodic density matrices. This model is inspired both from a recent definition of the Dirac-Fock ground state for atoms and molecules, due to one of us, and from the non-relativistic Hartree-Fock model for crystals. We prove existence of a ground-state when the number of electrons per cell is not too large.












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