Statistical estimates of electron correlations.
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.
Gyorffy
W
W
Tyndall National Institute, Lee Maltings, Prospect Row, Cork, Ireland. gyorffy@tyndall.ie
Henderson
Thomas M
TM
Greer
J C
JC