Gnatovskyy V. Electromagnetic interaction of a pair of coherent electrons

Thesis is devoted to the theoretical research of Coulomb interaction between two electrons being in the coherent states and to the interaction of coherent electron pair with the field of radiation. In thesis the coherent states of a free electron have been introduced and described. The properties of two-particle states of non-charged Fermi-particles have been analyzed in the case when parameters of one-particle states tend to each other. Analytical expressions of the interaction energy between two coherent electrons have been obtained in the first order of perturbation theory. The conditions have been found, when the interaction energy of electrons is less then the kinetic energy uncertainty. In this case the interaction energy can be neglected. In order to demonstrate the obtained results the head-on collision of two coherent electrons has been numerically simulated. The analytical expression has been obtained for the correlation function of double-ionization process of helium and neon. In the first order of perturbation theory the analytical expressions has been obtained for the probability density of photon absorption by a coherent electron for magnetic and electric transitions, the total probability of photon absorption has been estimated.