A carrier on a symmetric dimer with a weak hopping integral, interacti
ng (via a site-local coupling) strongly with on-site oscillators is co
nsidered. It is shown that the dynamics of the low excited nonstationa
ry states is, owing to strong carrier-oscillator correlations, incompa
tible with that of the nonlinear Liouville equation theory. The oscill
ators are, owing to carrier-oscillator correlations, fully relaxed to
the instantaneous rather than to the mean carrier position and need no
time-delay or relaxation mechanism to respond to the shifted carrier'
s position, in contrast to the usual Holstein and Davydov picture. The
origin of the standard Debye-Waller renormalization is scrutinized us
ing the Tokuyama-Mori theory including all the excited states of the o
scillators and rigorous statements are made concerning its form. Limit
ations on the time interval of applicability of the semiclassical desc
ription resulting from the carrier dynamics are discussed.