INTERPLAY OF EXCITON OR ELECTRON-TRANSFER AND RELAXATION .3. FORGETTING DETAILS OF INITIAL CONDITIONS

Owing to the recently proved equivalence between the Time-Convolutionl ess Generalized Master Equation and the Tokuyama-Mori approaches, one can discuss forgetting details of initial conditions in the electron ( exciton) transfer and relaxation problem in the above theories in a un ified manner. For a single carrier interacting with a thermodynamic ba th in a quite general manner and to second order in the carrier-phonon coupling in the theory for the full carrier density matrix, we are ab le to prove this phenomenon for any carrier system here provided that the total energy spectrum of the bath is continuous. General conclusio ns are demonstrated with respect to a system with site off-diagonal co upling of an electron (exciton) to the bath. Connection of the model w ith the Haken-Strobl-Reineker parametrization in the stochastic Liouvi lle equation model is discussed.