Approximation by Finite Potentials

Abstract

We consider an infinite system of point particles whose interaction is described by a stable two-body interaction potential ϕ of infinite range. A sequence of finite interaction potentials ϕ _R pointwise convergent to ϕ as R → ∞ is introduced. It is shown that the corresponding sequence of correlation functions ρ _R converges to ρ in the norm of the Ruelle space E _ξ