Adiabatic Coupling in the Helium and the Beryllium Series
Switching on the electron-electron interaction has provided a means for a deeper understanding of the Kohn-Sham formalism [1,2,3,4]. In recent years this adiabatic coupling was also used to produce density functionals (see, e.g., Ref. ) among which the so-called hybrid schemes  had great success. It was conjectured that the local density approximation works well for values of the coupling constant close to one (cf. ). Little is known, however, about the actual behavior of the correlation energy in real systems (see, e.g., ). The present paper shows results for simple systems (the helium and the beryllium series) often used as a benchmark in density functional calculations, as they are known not to behave properly in the local density approximation (LDA) .
KeywordsLocal Density Approximation Correlation Energy Configuration Interaction Slater Determinant Adiabatic Coupling
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