Any ground-state energy difference between two density functional approximations decomposes exactly into functional and density-driven parts, and reduces to a simple endpoint formula when densities are close.
Cohen, Paula Mori-Sánchez, and Weitao Yang
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Density functional analysis: The theory of density-corrected DFT
Any ground-state energy difference between two density functional approximations decomposes exactly into functional and density-driven parts, and reduces to a simple endpoint formula when densities are close.