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Time evolution of the relativistic excited state in the unified formulation of quantum and kinetics dynamics

A possible variant of description of nonequilibrium processes at microscopic level in the frame of the Liouville space extension of quantum mechanics determined by Prigogine and co-workers is investigated. The main aim of my work basing the principles of the quantum theory of fields is to investigate the possibility of using their ideas for the description of the processes of relaxation of the relativistic unstable states. The work was carried out in the frame of Prigogine's unified formulation of quantum and kinetics dynamics on the basis of the subdynamics. The time evolution of the relativistic exited state was investigated. The eigenvalues problem for the relativistic Hamiltonian of the system of interacting states was solved. As a result the expression for the density matrix determining evolution of the relativistic excited state was obtained. I carried out the numerical calculations for the probability of exited state of unstable Fermi-Dirac particle depending on the time. The obtained result can be used as the ground for the further studies of the observed physical processes such as the relaxation of the relativistic states and excited states of atoms and atomic nuclei in the presence of external disturbance.