reference system approach

The shell model of electron structure of negative hydrogen ion

In the frame of non-relativistic approximation, a compact approximate solution of the Schrödinger equation for the ion of $H^{-}$ has been obtained in the form of product for Legendre polynomials and variational functions of the Schull--Löwdin type. The accuracy of calculation of ion energy is of the same order that the results obtained using the multiparametric functions of Hylleraas and Pekeris.

Correlation functions of the degenerate relativistic electron gas with high density

The two- and three-particle correlation functions of degenerate relativistic model of homogeneous electron gas with Coulomb interactions at $T=0$ K in the momentum-frequency presentation in the local field approximation are investigated. These functions are sufficient for a correct calculation of the equation of state for the electron-nuclear model with the densities that correspond to the degenerate dwarfs.