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We postulate a master equation, written in the language of creation andannihilation operators, as a candidate for unambiguous quantum mechanicaldescription of unstable particles. We have found Kraus representation for theevolution driven by this master equation and study its properties. BothSchroedinger and Heisenberg picture of the system evolution are presented. Weshow that the resulting time evolution leads to exponential decay law.Moreover, we analyse mixing of particle flavours and we show that it can leadto flavour oscillation phenomenon.

Many unstable particles from an open quantum systems perspective