Ground state and excitations of the extended Hubbard model

Abstract

We examine the ground state and excitations of the one dimensional extended Hubbard model with long range interaction. The ground state wavefunctions and low lying excitations are given explicitly in the form of a Jastrow product of two body terms. This results motivates an asymptotic Bethe-ansatz for the model. We present evidence that this solution is in fact exact and spans the complete spectrum of states.