The Ionization Conjecture in Hartree-Fock Theory

2000/12/31 by Jan Philip Solovej · 2 citations
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:81V45 #msc:81V70

paper · pdf

published as Ann. of Math. (2), Vol. 158 (2003), no. 2, 509--576 · 68 pages published version

arxiv created 2004/04/22 · arxiv updated 2009/11/30

Abstract

We prove the ionization conjecture within the Hartree-Fock theory of atoms. More precisely, we prove that, if the nuclear charge is allowed to tend to infinity, the maximal negative ionization charge and the ionization energy of atoms nevertheless remain bounded. Moreover, we show that in Hartree-Fock theory the radius of an atom (properly defined) is bounded independently of its nuclear charge.

Cited by

• Electronic structure models with 2D symmetries in the presence of magnetic fields
• Dissociation limits in Density Functional Theory

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