  We present a class of nonlinear Schroedinger equations (NLSEs) describing, in
the mean field approximation, systems of interacting particles. This class of
NLSEs is obtained generalizing expediently the approach proposed in Ref. [G.K.
Phys. Rev. A 55, 941 (1997)], where a classical system obeying to an
exclusion-inclusion principle is quantized using the Nelson stochastic
quantization. The new class of NLSEs is obtained starting from the most general
nonlinear classical kinetics compatible with a constant diffusion coefficient
D=\hbar/2m. Finally, in the case of s-stationary states, we propose a
transformation which linearizes the NLSEs here proposed.
