In this paper we discuss pulsed laser excitation, which is nearly resonant
with an atomic transition in a partially ionized plasma. The dynamics of pa
rticles and the external laser held is microscopically described by a Green
's function approach on the one- and two-particle level. Particularly for t
he (1s --> 2p) transition of hydrogen the influence of the particle density
, laser intensity and detuning on the polarization dynamics is discussed. T
reating the collision integral with the Lipavsky ansatz allows to determine
the relaxation times T-1 and T-2 for the inversion and the polarization. T
hese relaxation times vary from the ps scale (in the low-density case) to t
he fs region (at high densities). Considering the pulse duration in compari
son with the relaxation times, the Markovian limit is valid for moderate an
d high densities, whereas the low-density case requires a non-Markovian com
putation.