  Using a hydrogen molecule as a test system we demonstrate how to compute the
effective potential according to the formalism of the new density functional
theory (DFT), in which the basic variable is the set of spherically averaged
densities instead of the total density, used in the traditional DFT. The
effective potential together the external potential, nuclear Coulomb potential,
can be substituted in the Schr\"odinger like differential equation to obtain
the spherically averaged electron density of the system. In the new method
instead of one three-dimensional low symmetry equation one has to solve as many
spherically symmetric equations as there are atoms in the system.

Chemical Physics;Atomic and Molecular Clusters