On the sole basis of the knowledge of the expectation values of several phy
sical observables, an inferred density matrix for spherical alkali-metal cl
usters is obtained. No explicit knowledge of any Hamiltonian model is assum
ed. A combination of information theory with the pseudoinverse variational
formalism is employed, and densities for spherical Na clusters are obtained
. [S0163-1829(99)09127-4].