Abstract

Padé approximants are used to represent the total correlation functional E c γ [ ϱ] and its kinetic-energy component T c γ [ ϱ], where the parameter γ is the electron-electron interaction coupling contstant within the adiabatic connection formalism. The exact relations between E c γ [ ϱ] are emploed to generate the associated T c γ [ ϱ] functional from its parent E c γ [ ϱ] functional. Numerical results (with γ = 1) on the first 18 neutral atoms confirm the soundness of this procedure. It is proved that no local representations of these functionals can be exact for the nonuniform electron gas. However, it is still useful to design local functionals that are as accurate as possible.

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