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

  • 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
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.
Section
Research articles