On Kohn-Sham models with LDA and GGA exchange-correlation functionals

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dc.creatorAnantharaman, Arnaud
dc.creatorCancès, Eric
dc.date2008-09-30
dc.date.accessioned2026-07-07T10:06:23Z
dc.date.available2026-07-07T10:06:23Z
dc.descriptionThis article is concerned with the mathematical analysis of the Kohn-Sham and extended Kohn-Sham models, in the local density approximation (LDA) and generalized gradient approximation (GGA) frameworks. After recalling the mathematical derivation of the Kohn-Sham and extended Kohn-Sham LDA and GGA models from the Schrödinger equation, we prove that the extended Kohn-Sham LDA model has a solution for neutral and positively charged systems. We then prove a similar result for the spin-unpolarized Kohn-Sham GGA model for two-electron systems, by means of a concentration-compactness argument.
dc.identifierhttps://arxiv.org/abs/0809.5139
dc.identifierhttp://arxiv.org/abs/0809.5139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170307
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleOn Kohn-Sham models with LDA and GGA exchange-correlation functionals
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