FIELD FORM OF DYNAMICS AND STATISTICS OF SYSTEMS OF PARTICLES WITH ELECTROMAGNETIC-INTERACTION

It is shown that the equations of the dynamics of N interacting particles can be represented for any N in the form of a BBGKY hierarchy and a Liouville equation. A similar representation has been obtained for systems of charged particles in their electromagnetic self-field. This has made it possible to use the BBGKY hierarchy as a method of obtaining statistical equations. Transition to nondeterministic states of a particle-field system has the consequence that both the particle and the field states become nondeterministic due to the appearance of transition probabilities. The BBGKY hierarchy of evolution equations branches. In 7N-dimensional phase spaces, there is no branching.