2017
Том 69
№ 7

All Issues

Approximation by Finite Potentials

Malyshev P. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 10, pp 1490-1497.

Citation Example: Malyshev P. V. Approximation by Finite Potentials // Ukr. Mat. Zh. - 2013. - 65, № 10. - pp. 1342–1349.

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