Abstract:
The system of Kirkwood–Salzburg equations are studied for continuous and lattice systems in a finite volume. It is shown that the operator defined by this system of equations has a spectrum, when appropriately understood, that coincides with the set of numbers $\{z_i^{-1}\}$, $i=1,2,\dots$, where $z_i$ are the zeros of the partition function of the physical system under conside ration.
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