Abstract
We investigate the relationship between the density matrix formalism and the method of describing quantum systems with wave functions pre-averaged over the thermostat states. It is shown that when fluctuations of the perturbation operator have a duration less than that of the characteristic times of variation of the isolated subsystem and the density matrix of the entire system can be represented as a direct product of the density matrix of the subsystem and the density matrix of the surrounding medium, both approaches lead to Neumann equations of the same structure.
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