Wigner distribution function of spherical metal clusters

We analyze the Wigner distribution function of spherical alkali-metal clust ers in the framework of the Density Functional Theory formalism using the j ellium and the pseudopotential-jellium models. Nonlocal effects of the inte raction between the ionic cores and the set of valence electrons are discus sed in comparison with the jellium prediction. We show that simple models l ike the Slater approach with surface diffuseness give the main features and reproduce the first moments of the Wigner distribution function and can al so be used to analyze large clusters.