Abstract
The decomposition of the ground state wave function of a Fermi gas interacting via hard core potentials into cluster functionsS n leads to a systematic expansion of wave function and energy in powers of the parameterc=P F r c (r c =hard core radius,P F =Fermi momentum). For instance,S n has the order of magnitudec n-λ-1, if λ=number of Fermion coordinates with distances smaller thanr c . The first three energy terms agree with the ones given by other authors. Any occurrence of singular terms in the intermediate steps of the derivation can be avoided
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Kümmel, H. Grundzustand eines Fermi-Gases mit hard-sphere-Wechselwirkung. Z. Physik 166, 243–256 (1962). https://doi.org/10.1007/BF01380771
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DOI: https://doi.org/10.1007/BF01380771