Properties of an exact crystalline many-body ground state

Abstract

A new quantum many-body Hamiltonian is introduced, for which the exact ground state is a Jastrow-type product. This Hamiltonian is interpreted as a one-component |x|-potential Coulomb system in free boundary conditions, and by explicit calculation it is shown that the ground state is crystalline. The general n-body density matrix is calculated, and is related to the n-body density matrix calculated in periodic boundary conditions. © 1994 Plenum Publishing Corporation.