This paper presents the Thomas-Fermi approach generalized to consider the particle correlations in many-body systems with non-Coulomb interaction potentials. The key points of the generalization consist in using integral formulation and extracting the pair distribution function. The latter has been found to obey the integral equation which, in the classical limit, is reduced to the well-known equation of Bogoliubov. So, the approach presented gives the way of taking into account interactions in the quantum many-body systems beyond the weak coupling perturbation theory.
@article{arxiv.cond-mat/9603090,
title = {Particle Correlations in the Generalized Thomas-Fermi Approach},
author = {A. A. Shanenko},
journal= {arXiv preprint arXiv:cond-mat/9603090},
year = {2009}
}