On Polymer Expansions for Equilibrium Systems of Oscillators with Ternary Interaction
Abstract
For Gibbs lattice systems characterized by a measurable space at sites of a d-dimensional hypercubic lattice and potential energy with pair complex potential, we formulate conditions that guarantee the convergence of polymer (cluster) expansions. We establish that the Gibbs correlation functions and reduced density matrices of classical and quantum systems of linear oscillators with ternary interaction can be expressed in terms of correlation functions of these systems.Downloads
Published
25.11.2001
Issue
Section
Research articles
How to Cite
Skrypnik, W. I. “On Polymer Expansions for Equilibrium Systems of Oscillators With Ternary Interaction”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 11, Nov. 2001, pp. 1532-44, https://umj.imath.kiev.ua/index.php/umj/article/view/4373.