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We have shown that it is possible to formulate the consistent andprobability-preserving description of the $CP$-symmetry-violating evolution ofa system of decaying particles. This has been done within the framework ofquantum mechanics of open systems. This approach allows the description of boththe exponential decay and flavour oscillations. We have solved explicitly theKossakowski-Lindblad master equation for a system of particles with violated$CP$ symmetry and found the evolution of _any_ observable bilinear in creationand annihilation operators. The choice of a concrete observable can be done bythe proper choice of initial conditions for the system of differentialequations. We have calculated the evolution as well as mean values of theobservables most interesting from the physical point of view, and we have foundtheir lowest order difference with the $CP$-preserved values.

Neutral kaons as an open quantum system in a second quantization approach