  We apply, for the first time, an energy dependent Schrodinger equation to
describe static properties of heavy quark systems, i.e. charmonium and
bottonium. We show that a good description of the eigenstates and reasonable
values for the widths can be obtained. Values of the radii and of the density
at the origin are also given. We compare the results to those deduced with a
Schrodinger equation implemented with potentials used so far. We note that the
energy dependence of the confining potential provides a natural mechanism for
the saturation of the spectra. Our results introduce a new class of potentials
for the description of heavy quark systems.
