The necessary and sufficient conditions for a one-body reduced density matrix of rank 6 to be derivable from a three-body fermion wavefunction are presented. For this case it can be shown explicitly that the information content of the one-matrix is less than that of the wavefunction. The extension of these conditions to the cases of a three-body function of one-rank 7 and a four-body function of one-rank 8 are also discussed. The authors have obtained sufficient conditions for these two cases. Numerical studies reported in this paper lead us to believe that these conditions are the necessary and sufficient conditions.
No takes yet. Share an insight, caveat, or question.
Borland et al. (1972) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: