
doi: 10.1007/bf01608389
We give a rigorous proof that under certain technical conditions the memory effects in a quantum-mechanical master equation become negligible in the weak coupling limit. This is sufficient to show that a number of open systems obey an exponential decay law in the weak coupling limit for a rescaled time variable. The theory is applied to a fairly general finite dimensional system weakly coupled to an infinite free heat bath.
Asymptotic theory of functional-differential equations, Integro-ordinary differential equations, Differential equations in abstract spaces, Interacting random processes; statistical mechanics type models; percolation theory, 81.60
Asymptotic theory of functional-differential equations, Integro-ordinary differential equations, Differential equations in abstract spaces, Interacting random processes; statistical mechanics type models; percolation theory, 81.60
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