  The Relativistic Mean Field (RMF) approach describing the motion of
independent particles in effective meson fields is extended by a microscopic
theory of particle vibrational coupling. It leads to an energy dependence of
the relativistic mass operator in the Dyson equation for the single-particle
propagator. This equation is solved in the shell-model of Dirac states. As a
result of the dynamics of particle-vibrational coupling we observe a noticeable
increase of the level density near the Fermi surface. The shifts of the
single-particle levels in the odd nuclei surrounding 208-Pb and the
corresponding distributions of the single-particle strength are discussed and
compared with experimental data.
