Geodesic
Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field
Documenta mathematica, Tome 3 (1998), pp. 353-364
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We investigate stability of matter of the Hartree-Fock functional of the relativistic electron-positron field – in suitable second quantization – interacting via a second quantized Coulomb field and a classical magnetic field. We are able to show that stability holds for a range of nuclear charges Z1​,..,ZK​≤Z and fine structure constants α that include the physical value of α and elements up to holmium (Z=67).
DOI : 10.4171/dm/51
Mots-clés : Dirac operator, stability of matter, QED, generalized Hartree-Fock states 
@article{10_4171_dm_51,
     author = {Bernard Helffer and Volker Bach and Jean-Marie Barbaroux and Heinz Siedentop},
     title = {Stability of matter for the {Hartree-Fock} functional of the relativistic electron-positron field},
     journal = {Documenta mathematica},
     pages = {353--364},
     year = {1998},
     volume = {3},
     doi = {10.4171/dm/51},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/51/}
}
TY  - JOUR
AU  - Bernard Helffer
AU  - Volker Bach
AU  - Jean-Marie Barbaroux
AU  - Heinz Siedentop
TI  - Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field
JO  - Documenta mathematica
PY  - 1998
SP  - 353
EP  - 364
VL  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/51/
DO  - 10.4171/dm/51
ID  - 10_4171_dm_51
ER  - 
%0 Journal Article
%A Bernard Helffer
%A Volker Bach
%A Jean-Marie Barbaroux
%A Heinz Siedentop
%T Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field
%J Documenta mathematica
%D 1998
%P 353-364
%V 3
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/51/
%R 10.4171/dm/51
%F 10_4171_dm_51
Bernard Helffer; Volker Bach; Jean-Marie Barbaroux; Heinz Siedentop. Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Documenta mathematica, Tome 3 (1998), pp. 353-364. doi: 10.4171/dm/51

Cité par Sources :