Abstract
An expansion for the grand canonical partition function of a quantum many-body system is derived which has the following features: (i) any order of this expansion is finite, even in the presence of hard core interactions: (ii) its classical limit reduces to the usual Mayer expansion, in powers of exp [-β v(r)], (iii) it gives an upper bound to the free energy, at any order of the expansion (for bosons only). With this expansion, we also show the formal equivalence of a quantum many-body system and a system of polymer chains.
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