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 interaction potentials. The key points of the generalization consist in using integral formulation and extracting the radial 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 can be used to explore particle correlations in the quantum many-body systems with the interparticle potentials not having the Fourier transform, for example, with a Lennard-Jones potential. ©1996 The American Physical Society.