  Recently, the one particle quantum mechanics has been obtained in the
framework of an entirely classical subquantum kinetics. In the present paper we
argue that, within the same scheme and without any additional assumption, it is
possible to obtain also the $n$-particle non relativistic quantum mechanics.
The main goal of the present effort is to show that the classical BBGKY
hierarchical equation, for the $n$-particle reduced distribution function, is
the ancestor of the $n$-particle Schr\"odinger equation. On the other hand we
show that within the scenario of the subquantum structure of quantum particle,
the Fisher information measure emerges naturally in quantum mechanics.
