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 and fine structure constants that include the physical value of and elements up to holmium ().
Cite this article
Volker Bach, Jean-Marie Barbaroux, Bernard Helffer, Heinz Siedentop, Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Doc. Math. 3 (1998), pp. 353–364DOI 10.4171/DM/51