The Dirac equation in the algebraic approximation. V. Self-consistent field studies including the Breit interaction

It is argued that the Breit interaction can be included in the self-consistent-field procedure of Dirac-Hartree-Fock calculations, and need not necessarily be treated as a first-order perturbation, as is widely believed. The matrix Dirac-Hartree-Fock equations including the frequency-independent Breit interaction are presented and discussed. Prototype calculations for helium-like and beryllium-like ions are presented.