  We present an ``orbital'' free density functional theory for computing the
quantum ground state of atomic clusters and liquids. Our approach combines the
Bohm hydrodynamical description of quantum mechanics with an information
theoretical approach to determine an optimal quantum density function in terms
of density approximates to a statistical sample. The ideas of Bayesian
statistical analysis and an expectation-maximization procedure are combined to
develop approximations to the quantum density and thus find the approximate
quantum force. The quantum force is then combined with a Lennard-Jones force to
simulate clusters of Argon atoms and to obtain the ground state configurations
and energies.
  As demonstration of the utility and flexibility of the approach, we compute
the lowest energy structures for small rare-glass clusters. Extensions to many
atom systems is straightforward.
