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