The Thomas-Fermi model: momentum expectation values

Abstract

Within the Thomas-Fermi model including the exchange interaction and contributions of strongly bound electrons, analytical expressions are obtained for all momentum expectation values < pb> and for some of the expectation values of powers of the electron density for an atom with an arbitrary degree of ionization. It is shown that a correct treatment of strongly bound electrons gives a quantitative estimate of < pb> and <ρm> within 3 ≤ b < 5 and 1 ≤ m < 5/3. The Z-1 expansion coefficients for < pb> and < ρm> are given as an explicit function of the electron number