Quasi-classical approximate solution of Hartry-Fock’s equations in case of closed electron envelopes

Quasi-classical approximate solution for non-liner system of integraldifferential variational Hartry-Fock’s equations in case of a multi-electron atom with completed electron envelopes, is derived. It is shown that this derivation is reduced to that of main differential equation of Thorn as Fermi’s statistical model of atom. It is proposed to interpret Hartry-Fock’s approach as an asymptotic one where the large amount of electrons in the atom is taken as a small parameter.