Application of the Lindblad axiomatic approach to non-equilibrium nuclear processes

In the framework of the Lindblad axiomatic approach for open quantum systems various models for heavy-ion reactions are considered. Assuming the existence of a stationary solution for the Lindblad equation in Gibbs form, the relations between the friction and diffusion coefficients are derived. In this case the evolution operator depends on temperature. Models and Lindblad's evolution operators, which are constructed with the generators of SO(3) and SO(4) algebras, are considered. A master equation for the density operator is derived for the case of a general potential and its connection with similar approaches in nuclear physics is discussed. (author)