Abstract cluster expansion with applications to statistical mechanical systems

TL;DR

This paper develops a general framework for the cluster expansion method, providing criteria for convergence and applying it to classical and quantum particle systems with stable interactions.

Contribution

It introduces a unified setting for cluster expansion and establishes convergence criteria applicable to both classical and quantum systems.

Findings

Established sufficient conditions for convergence of cluster expansions.

Applied the framework to classical and quantum particle systems.

Demonstrated the method's effectiveness in analyzing stable interactions.

Abstract

We formulate a general setting for the cluster expansion method and we discuss sufficient criteria for its convergence. We apply the results to systems of classical and quantum particles with stable interactions.