E. Simoni et al., TIME-DEPENDENT THEORETICAL TREATMENT OF INTERVALENCE ABSORPTION-SPECTRA - EXACT CALCULATIONS IN A ONE-DIMENSIONAL MODEL, Journal of physical chemistry, 97(49), 1993, pp. 12678-12684
Intervalence absorption spectra are calculated and interpreted by usin
g the time-dependent theory of spectroscopy and the Feit and Fleck met
hod of numerically integrating the time-dependent Schrodinger equation
. These methods give exact eigenvalues and eigenfunctions (within the
constraints of the model and the numerical accuracy of the computer im
plementation). The results provide a new physical picture of the absor
ption spectrum and emphasize that Born-Oppenheimer separation of elect
ronic and vibrational wave functions does not apply to the problem. Th
e details of the calculation are discussed and interpreted. The exact
calculation is compared to results obtained in the adiabatic limit. Th
e effect of the temperature on intervalence absorption spectra is disc
ussed. Localization and delocalization are interpreted in terms of the
eigenfunctions.