Single-particle properties in an exactly solvableA-body system
A recent theorem states that for quantum manybody 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 theA-particle system in its ground state. We confirm this property, by explicit construction, for the case of a schematic, exactly solvable system.
PACS24.10.Cn 21.60.-n 21.10.Pc
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