Reduced Density Matrices of Quantum Gases. III. Hard-Core Potentials

Abstract

In two previous papers, the reduced density matrices of quantum gases, in the grand canonical formalism and for suitably restricted interaction potentials, have been shown to be analytic vector‐valued functions of the activity in a neighborhood of the origin, to tend in some sense to well‐defined limits as the volume of the system becomes infinite, and to satisfy a cluster decomposition property. The same results are extended here by the same methods to a wider class of potentials, including hard‐core, and allowing attractive interactions, which were excluded previously.