Abstract
The time evolution of a quantum system has been considered, with its hamiltonian depending on a randomly varying parameter. It is assumed that the parameter fluctuations occur instantly, i.e., within the time of a “jump”, which is much shorter than the mean time between jumps, when the parameter retains its constant value. For an arbitrary time distribution between jumps, a closed integro-differential equation has been derived by which the non-markovian effects on the system could be investigated for the first time. As an application the causes of oscillations in the correlation functions of dynamic variables in a dense medium as well as the non-stationary in-cage reaction kinetics have been studied.
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