ИСТИНА

Sinse 70th it is known that the Shroedinger equation is the Hamiltonian equation of a proper Hamiltonian system whose phase space is the Hilbert space of the corresponding quantum system. In the talk we call Hamiltonian second quantization a quantization of this Hamiltonian system (this idea was suggested some years ago by O.G.Smolyanov and its mathematical formulation in physically interesting cases leads to some new analytic structures). We discuss this construction and related constructions suggested by V.Zh.Sakbaev and N.N.Shamarov.