Correlation effects in a one-dimensional electron gas with short-range interaction

We study the correlation effects in a one-dimensional electron gas with rep ulsive delta-function interaction. The correlation effects are described by a local-held correction which takes into account the short-range correlati ons. We find that the ground state energy is in good agreement with the exa ct result up to intermediate coupling strengths, showing an improvement ove r the STLS approximation. The compressibility, the static structure factor and the pair-correlation function are also calculated within the present ap proximation. (C) 1999 Elsevier Science Ltd. All rights reserved.