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arXiv · 0810.3433

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

Gustavo E. Scuseria·Thomas M. Henderson·Danny C. Sorensen
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Abstract

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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Gustavo E. Scuseria, Thomas M. Henderson, Danny C. Sorensen. 2008-10-24. The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach. https://doi.org/10.1063/1.3043729

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