A detailed analysis of necessary conditions on a family of many-body potentials, which ensure stability, superstability or strong superstability of a statistical system is given in present work.There has been given also an example of superstable many-body interaction.
On stability, superstability and strong superstability of classical systems of Statistical Mechanics
Induced and reduced unbounded operator algebras
Some Remarks on Effective Range Formula in Potential Scattering
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