Journal of Chemical Physics, Vol.104, No.5, 1989-1992, 1996
On the Adiabatic Connection Method, and Scaling of Electron-Electron Interactions in the Thomas-Fermi Limit
In this paper we examine three aspects of electron-electron scaling : (i) the electron-electron repulsions are only scaled in Thomas-Fermi theory; (ii) the electron-electron repulsions are scaled, and the one electron potential is adjusted to give a prescribed density, in Thomas-Fermi-Dirac theory; and (iii) new approaches to the adiabatic connection formulas are presented to help improve the exchange-correlation functional. A new generalized two-point expression is presented. Models (i) and (ii) are solved exactly.