Probabilistic interpretation of cluster function series development of many-electron wave functions

A probabilistic treatment of the polyfermionic systems is made. The idea of the particles localizability on bounded sets in the X-configuration space of the system is used. The decomposition of this space into a union of bounded sets permits a natural decomposition of the wavefunction into a cluster function series. Our purposes are (a) a physical interpretation of this type of expansion and (b) the establishment of a definition for the correlation phenomenon independently of a Hartree-Fock or other particular model.