an:01258348
Zbl 0913.35113
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field
EN
Doc. Math. 3, 353-364 (1998).
00048769
1998
j
35Q40 81Q05 81V10
Dirac operator; generalized Hartree-Fock states; quantum electrodynamics; stability of matter
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 \(Z_1,\dots, Z_K\leq Z\) and fine structure constants \(\alpha\) that include the physical value of \(\alpha\) and elements up to holmium \((Z= 67)\).