SINGLE-PARTICLE PROPERTIES IN AN EXACTLY SOLVABLE A-BODY SYSTEM

A recent theorem states that for quantum many-body systems with short- range interactions the following property holds: the single-particle o verlap functions, spectroscopic factors and separation energies of bou nd eigenstates of the (A - 1)-particle system are fully determined by the one-body density matrix of the A-particle system in its ground sta te. We confirm this property, by explicit construction, for the case o f a schematic, exactly solvable system.