1980 Volume 48 Issue 1 Pages 219-227
By extending a previous paper such that the condition of the weak coupling limit is relaxed, the relationship between resonant light scattering and luminescence is studied in a localized electron-phonon system with quadratic interaction. The total light scattering spectrum is decomposed into successive terms of Sn representing the effect of the n-th order multiple phonon scattering in the intermediate state. It is shown that the line shape of Sn changes gradually with n and approaches, for sufficiently large n, the luminescence spectrum. Effects of changes in the electron-phonon interaction strength, sharpness of the phonon density of states and radiative damping on the approach of Sn to the luminescence limit are studied. The validity of the approximate calculation employed here is discussed in connection with a sum rule and a comparison of absorption spectra calculated with some different approximation methods.
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