Properties of the periodic Hartree-Fock minimizer

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dc.creatorGhimenti, Marco
dc.creatorLewin, Mathieu
dc.date2008-03-22
dc.date.accessioned2026-07-07T12:17:50Z
dc.date.available2026-07-07T12:17:50Z
dc.descriptionWe study the periodic Hartree-Fock model used for the description of electrons in a crystal. The existence of a minimizer was previously shown by Catto, Le Bris and Lions (Ann. Inst. H. Poincare Anal. Non Lineaire} 18 (2001), no.6, 687--760). We prove in this paper that any minimizer is necessarily a projector and that it solves a certain nonlinear equation, similarly to the atomic case. In particular we show that the Fermi level is either empty or totally filled.
dc.identifierhttps://arxiv.org/abs/0803.3269
dc.identifierhttp://arxiv.org/abs/0803.3269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212211
dc.subjectMathematical Physics
dc.titleProperties of the periodic Hartree-Fock minimizer
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