Mathematics

After a short review on why the increasing number of degrees of freedom makes possible to approximate many-body quantum mechanics, an intrinsically linear evolution, with a nonlinear single-body equation, the proof is sketched of a new method for deriving the nonlinear Hartree equation form the mean field limit $N\to\infty$ for a system of $N$ bosons which allows us to obtain convergence estimates uniform with respect to the Planck constant.