Exact integral formulas and asymptotics for the correlations in the 1 r2 quantum many body system

Abstract

For all even values of a dimensionless coupling, the two-particle distribution function and one-body density matrix for the ground state wave function of the 1 r2 quantum many body system are known in terms of a generalized hypergeometric function. We give an integral representation of this function which allows the large separation asymptotics to be calculated. © 1993.