Statistical origin of quantum mechanics

The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent scheme of a classical dynamics, allows us: (i) to obtain the probabilistic nature of the quantum description and to interpret the wave function ψ according to the Copenhagen school; (ii) to derive the quantum potential and then the Schrödinger equation; (iii) to calculate the values of the physical observables as mean values of certain associated operators; (iv) to obtain the Heisenberg uncertainty principle.