APPLICATION OF THE LINDBLAD AXIOMATIC APPROACH TO NONEQUILIBRIUM NUCLEAR PROCESSES

In the framework of the Lindblad axiomatic approach for open quantum s ystems various models for heavy-ion reactions are considered. Assuming the existence of a stationary solution for the Lindblad equation in G ibbs form, the relations between the friction and diffusion coefficien ts are derived. In this case the evolution operator depends on tempera ture. Models and Lindblad's evolution operators, which are constructed with the generators of SO(3) and SO(4) algebras, are considered. A ma ster equation for the density operator is derived for the case of a ge neral potential and its connection with similar approaches in nuclear physics is discussed.