Tokuyama-Mori theory together with canonical transformation but with q
uantities of interest remaining untransformed is applied to the excito
n- or electron-phonon system with site-diagonal linear coupling and fu
ll exciton or electron density matrix; finite concentrations of the ca
rriers are admitted. The result is applied to a particle on a symmetri
c dimer. In contrast to recent calculations showing that time-convolut
ion (Mori or generalized master equation) second-order (in coupling to
phonons) approaches fail in providing genuine relaxation, independent
(up to the initial time interval) of the degree of initial polaron fo
rmation, the Tokuyama-Mori theory is illustrated to be fully acceptabl
e in this respect. Correspondence with a recent generalization of the
Haken-Strobl-Reineker model is found.