The Ionization Conjecture in Hartree-Fock Theory

Details The Ionization Conjecture in Hartree-Fock Theory The Ionization Conjecture in Hartree-Fock Theory

2000-12-13

arxiv.org/abs/math-ph/0012026v3

Ann. of Math. (2), Vol. 158 (2003), no. 2, 509--576

Physics

Mathematical Physics

68 pages published version

Scientific paper

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.

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