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

Abstract

Description of time evolution of the relativistic unstable electromagnetic system consisting of Fermi-Dirac particle interacting with electromagnetic field, in the framework of the Liouville space extension of quantum mechanics is done. The work was carried out on the basis of Prigogine's unified formulation of quantum and kinetic dynamics. The eigenvalues problem for the relativistic Hamiltonian of the electromagnetic system was solved. The obtained results can be used as the ground for the further studies of the observed physical processes such as bremsstrahlung, relaxation of excited states of atoms and atomic nuclei, particles decay.