On lattice oscillator-type Kirkwood - Salsburg equation with attractive manybody potentials

Authors

  • W. I. Skrypnik

Abstract

We consider a lattice oscillator-type Kirkwood–Salsburg (KS) equation with general one-body phase measurable space and many-body interaction potentials. For special choices of the measurable space, its solutions describe grand-canonical equilibrium states of lattice equilibrium classical and quantum linear oscillator systems. We prove the existence of the solution of the symmetrized KS equation for manybody interaction potentials which are either attractive (nonpositive) and finite-range or infinite-range and repulsive (positive). The proposed procedure of symmetrization of the KS equation is new and based on the superstability of many-body potentials.

Published

25.12.2010

Issue

Section

Research articles

How to Cite

Skrypnik, W. I. “On Lattice Oscillator-Type Kirkwood - Salsburg Equation With Attractive Manybody Potentials”. Ukrains’kyi Matematychnyi Zhurnal, vol. 62, no. 12, Dec. 2010, pp. 1687–1704, https://umj.imath.kiev.ua/index.php/umj/article/view/2992.