Nonstationary self-consistent model for an ensemble in the self-field

The behavior of a nonstationary system of charged particles interacting with the self-field is studied using integrals of motion for nonstationary systems. Numerical solutions are obtained for the sets of equations describing the characteristics of a system of particles. A nonstationary self-consistent quantum system is also analyzed. The proposed model can be useful for investigating the acceleration of charged particles by the self-field.