PARTICLE CORRELATIONS IN THE GENERALIZED THOMAS-FERMI APPROACH

This paper presents the Thomas-Fermi approach generalized to consider the particle correlations in many-body systems with non-Coulomb intera ction potentials. The key points of the generalization consist in usin g integral formulation and extracting the radial distribution function . The latter has been found to obey the integral equation which, in th e classical limit, is reduced to the well-known equation of Bogoliubov . So, the approach presented can be used to explore particle correlati ons in the quantum many-body systems with the interparticle potentials not having the Fourier transform, for example, with a Lennard-Jones p otential.