Approximation by Finite Potentials

  • P. V. Malyshev


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.
How to Cite
Malyshev, P. V. “Approximation by Finite Potentials”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 10, Oct. 2013, pp. 1342–1349,
Research articles