Approximation by Finite Potentials

  • P. V. Malyshev

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.
Published
25.10.2013
How to Cite
MalyshevP. V. “Approximation by Finite Potentials”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 10, Oct. 2013, pp. 1342–1349, http://umj.imath.kiev.ua/index.php/umj/article/view/2513.
Section
Research articles