Dynamics of open quantum systems in symplectic tomography

The symplectic tomography has not only succeeded to become a self-consistent picture of quantum mechanics, but also has the practical significance for controlling the quantum state in applications. In this talk, the methods of symplectic tomography are considered in relation to the quantum systems interacting with the environment. It is shown how the common formalism of open system dynamics is projected onto the symplectic tomography. In particular, the counterparts of evolution equations have been derived to describe both the Markovian and non-Markovian evolution of tomograms.