Time dependence of the resonant and near resonant photon moleculaar interactions

Using scattering theory we have derived an explicit expression for the time dependence of the resonant interaction of lorentzian photons with molecular systems. A discussion is presented on the dependence of molecular states on the nature of the exciting photon with an additional regard for the appropriate choice of basis sets. By examining the time dependence of the scattered photon a clear resonance Raman scattering resonance fluorecence limit emerges based on the temporal relationship of the scattered photon to that of the resonant state and incident photon. The influence on the resonant scattering of random fluctuation and relaxation processes that lead to dissipation is discussed with reference to scattering experiments performed in the gas and condensed phases.