The ionization conjecture in Hartree-Fock theory
Annals of mathematics, Tome 158 (2003) no. 2, pp. 509-576
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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.
@article{10_4007_annals_2003_158_509, author = {Jan Philip Solovej}, title = {The ionization conjecture in {Hartree-Fock} theory}, journal = {Annals of mathematics}, pages = {509--576}, publisher = {mathdoc}, volume = {158}, number = {2}, year = {2003}, doi = {10.4007/annals.2003.158.509}, mrnumber = {2018928}, zbl = {1106.81081}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.509/} }
TY - JOUR AU - Jan Philip Solovej TI - The ionization conjecture in Hartree-Fock theory JO - Annals of mathematics PY - 2003 SP - 509 EP - 576 VL - 158 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.509/ DO - 10.4007/annals.2003.158.509 LA - en ID - 10_4007_annals_2003_158_509 ER -
Jan Philip Solovej. The ionization conjecture in Hartree-Fock theory. Annals of mathematics, Tome 158 (2003) no. 2, pp. 509-576. doi: 10.4007/annals.2003.158.509
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