Geodesic
The ionization conjecture in Hartree-Fock theory
Jan Philip Solovej1
1 Department of Mathematical Sciences, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark
Annals of mathematics, Tome 158 (2003) no. 2, pp. 509-576.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2003.158.509

Jan Philip Solovej 1

1 Department of Mathematical Sciences, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark 
@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  - 
%0 Journal Article
%A Jan Philip Solovej
%T The ionization conjecture in Hartree-Fock theory
%J Annals of mathematics
%D 2003
%P 509-576
%V 158
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.509/
%R 10.4007/annals.2003.158.509
%G en
%F 10_4007_annals_2003_158_509
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. http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.509/

Cité par Sources :