Diffusion and friction coefficients in the Lindblad axiomatic approach to nonequilibrium nuclear processes

The influence of different sets of friction and diffusion coefficients on the dynamics of quantum system is investigated. Taking as an example a dinuclear system, it is shown that the uncertainly relation can be violated during short initial time in the classical consideration with zero diffusion in the coordinate. Sets of diffusion coefficients for which the classical and quantum Lindblad considerations give close results are found. The tunneling through the barrier is crucial to the presence of friction in coordinate in the quantum diffusion equation. A specific choice of the operators describing the coupling of the open system with heat bath allows one to obtain the quantum diffusion equation with zero friction in coordinate and nonzero other transport coefficients