Markovian master equations

  title={Markovian master equations},
  author={E. B. Davies},
  journal={Communications in Mathematical Physics},
  • E. Davies
  • Published 1974
  • Mathematics
  • Communications in Mathematical Physics
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. 
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