Analysis of long-range effects in many-body correlation approaches for one-dimensional periodic systems

We analyze the divergent contributions to-the Hamiltonian for extended, nonmetallic systems in one dimension, to both the ground-state correlation energy and to the correlated band structure. It is shown that the contribution from the long-range divergent part of the Hamiltonian tends to zero as 1/M-2, where M is the extent of the troublesome lattice summations. Therefore, it is well justified to neglect such contributions in higher order many-body perturbation theory or coupled cluster treatments of the electronic structure for polymers. (C) 1997 John Wiley & Sons, Inc.