Geodesic
Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field
Documenta mathematica, Tome 3 (1998), pp. 353-364.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $Z_1,..,Z_K\leq Z$ and fine structure constants $\alpha$ that include the physical value of $\alpha$ and elements up to holmium ($Z=67$).
Keywords: Dirac operator, stability of matter, QED, generalized Hartree-Fock states 
@article{DOCMA_1998__3__a0,
     author = {Bach, Volker and Barbaroux, Jean-Marie and Helffer, Bernard and Siedentop, Heinz},
     title = {Stability of matter for the {Hartree-Fock} functional of the relativistic electron-positron field},
     journal = {Documenta mathematica},
     pages = {353--364},
     publisher = {mathdoc},
     volume = {3},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1998__3__a0/}
}
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Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz. Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Documenta mathematica, Tome 3 (1998), pp. 353-364. http://geodesic.mathdoc.fr/item/DOCMA_1998__3__a0/