  In the present paper the gas, liquid and solid phases made of structureless
particles, are visited to the light of the quantum stochastic hydrodynamic
analogy (SQHA). The SQHA shows that the open quantum mechanical behavior is
maintained on a distance shorter than the theory-defined quantum correlation
length (lc). When, the physical length of the problem is larger than lc, the
model shows that the quantum (potential) interactions may have a finite range
of interaction maintaining the non-local behavior on a finite distance quantum
non-locality length lq. The present work shows that when the mean molecular
distance is larger than the quantum non-locality length we have a classical
phases (gas and van der Waals liquids) while when the mean molecular distance
becomes smaller than lq or than lc we have phases such as the solid crystal or
the superfluid one, respectively, that show quantum characteristics. The model
agrees with Lindemann empirical law (and explains it), for the mean square
deviation of atom from the equilibrium position at melting point of crystal,
and shows a connection between the maximum density at the He lambda point and
that one near the water-ice solidification point.
