A Simple Local Correlation Energy Functional for Spherically Confined Atoms from ab Initio Correlation Energy Density

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We propose a simple method of calculating the electron correlation energy density e c (r) and the correlation potential V c (r) from second-order Møller–Plesset amplitudes and its generalization for the case of a configuration interaction wavefunction, based on Nesbet's theorem. The correlation energy density obtained by this method for free and spherically confined Be and He atoms was employed to fit a local analytical density functional based on Wigner's functional. The functional is capable of producing a strong increase in the correlation energy with decreasing confined radius for the Be atom ​
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