title: Statistical estimates of electron correlations.
abstract: While arbitrarily accurate solutions to the many-body Schrodinger equation are possible through a brute force expansion of the wave function, the length of the expansions required renders the approach intractable except for few-electron problems. By considering the form of the energy resulting from truncation of the many-particle expansion space, it is shown that accurate determination of electron correlations may be extracted from estimates of average or effective energy contributions while maintaining a reduced dimension for the expansion space. An energy formula expressed as a rational function of the expansion vector length is determined, allowing for estimates of asymptotic limits of many-body correlations.
authors.affiliation: Tyndall National Institute, Lee Maltings, Prospect Row, Cork, Ireland. gyorffy@tyndall.ie
authors.forename: W
authors.initials: W
authors.lastname: Gyorffy
authors.forename: Thomas M
authors.initials: TM
authors.lastname: Henderson
authors.forename: J C
authors.initials: JC
authors.lastname: Greer