The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach

Details The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach

2008-10-19

arxiv.org/abs/0810.3433v3

Physics

Condensed Matter

Other Condensed Matter

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Scientific paper

10.1063/1.3043729

We present an analytic proof demonstrating the equivalence between the Random Phase Approximation (RPA) to the ground state correlation energy and a ring-diagram simplification of the Coupled Cluster Doubles (CCD) equations. In the CCD framework, the RPA equations can be solved in $\mathcal{O}(N^4)$ computational effort, where $N$ is proportional to the number of basis functions.

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