The ionization conjecture in Hartree-Fock theory

• 成果类型: Article
• 署名作者: Solovej, JP
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2003.158.509
• 发表日期: 2003
• 页码: 509-576
• 关键词: thomas-fermi; negative-ions; atoms; molecules; energy; neutrality; constants; systems

摘要

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.