title: The ground state correlation energy of the random phase approximation from a ring coupled cluster doubles approach.
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 O(N(4)) computational effort, where N is proportional to the number of basis functions.
authors.affiliation: Department of Chemistry, Rice University, Houston, Texas 77005-1892, USA. guscus@rice.edu
authors.forename: Gustavo E
authors.initials: GE
authors.lastname: Scuseria
authors.forename: Thomas M
authors.initials: TM
authors.lastname: Henderson
authors.forename: Danny C
authors.initials: DC
authors.lastname: Sorensen