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Abstract
The problem of non-radiative transitions in solids is treated from two different points of view. One is a single configurational coordinate model, while the second is a suitable generalization of the one-dimensional molecular crystal model of Holstein in which the intermolecular coupling is explicitly taken into account. Results for the transition rate are obtained for three cases: arbitrary-coupling, zero temperature; weak-coupling, finite temperature; strong-coupling, high temperature. These are compared with the results of other workers, obtained by alternate methods.
