Nonadiabatic transitions at the limit of almost-adiabatic perturbations with random motion along the terms

Conclusions The investigation carried out has shown that in the diffusion approximation, which is valid when the effective length of the free path =v_ov is much smaller than the dimension of the nonadiabatic region, an adiabatic limit is achieved only under the condition v_v 1. This case cannot be described when (4) is assumed to be valid for , since this equation is fulfilled only when v_v 1. It is perfectly natural that the use of Eq. (4) produces a strong interaction between the terms of the quantum subsystem, i.e., we do not attain an adiabatic limit. In the work it was shown that at the adiabatic limit the rate of transitions between the terms decreases rapidly with increasing v_v.The condition v_v 1 strongly restricts the region for the applicability of (4) and, therefore, of (12). In this sense, expression (21) is a significant generalization of (14), since it was obtained only under the. assumption and V_D 1. However, the range of parameters which satisfy these inequalities corresponds to a fairly narrow group of processes; therefore, it would be of interest to also investigate the region of a. This question will be the subject of the next report.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 17, No. 1, pp.3–9, January–February, 1981.In conclusion, we express our sincerest thanks to I. V. Aleksandrov, S. Ya. Umanskii, and M. Ya. Ovchinnikova for numerous and useful discussions.