Summary
The present level of technology (e.g. quantum computing or nanoscience) approaches the atomic level. Thus the theory of interaction of macroscopic device with quantum systems is in the spot of attention worldwide. Despite of important advances in technology our understanding of such interactions is still fundamentally incomplete.
For example, in quantum world there is a deep interaction between a system and an observer, that is any macroscopic device. New vision is provided by mathematical models which unify languages of quantum and classical mechanics. One of possible approaches is based on the common symmetry groups---the Heisenberg and symplectic groups---which acts on the phase space by geometric transformations.
