  A Quark-Meson Coupling (QMC) model is extended to finite nuclei in the
relativistic mean-field or Hartree approximation. The ultra-relativistic quarks
are assumed to be bound in non-overlapping nucleon bags, and the interaction
between nucleons arises from a coupling of vector and scalar meson fields to
the quarks. We develop a perturbative scheme for treating the spatial
nonuniformity of the meson fields over the volume of the nucleon as well as the
nucleus. Results of calculations for spherical nuclei are given, based on a fit
to the equilibrium properties of nuclear matter. Several possible extensions of
the model are also considered.
