Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field

  • Volker Bach

  • Jean-Marie Barbaroux

  • Bernard Helffer

  • Heinz Siedentop

Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field cover
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Abstract

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,..,ZKZZ_1,..,Z_K\leq Z and fine structure constants α\alpha that include the physical value of α\alpha and elements up to holmium (Z=67Z=67).

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. 353–364

DOI 10.4171/DM/51