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Extending the random phase approximation with renormalized ...

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Correlation energy from ACDFT<br />

The exact correlation energy in DFT can be written<br />

E c = −1<br />

2π∫ 1<br />

0<br />

d λ∫ d r d r '<br />

e 2<br />

∣r−r '∣ ∫ ∞<br />

d ω[ χ<br />

0<br />

λ (r , r ' ;i ω)−χ 0 (r , r ' ;i ω)]

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