Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method

Following the ideas N. Bogoliubov used to derive classical and quantum nonlinear kinetic equations, we Redfield linear master equation, which is widely in theory of open systems. This method allows one calculate joint state a system reservoir at every instant time, as well obtain equations autonomous differential an arbitrary order perturbation theory. We prove that under certain conditions expressions for corrections all orders are defined. also discuss question whether dynamics described by derived Markovian.