This article is cited in 18 papers

Field form of dynamics and statistics of systems of particles with electromagnetic interaction

L. S. Kuz'menkov


Abstract: 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.

Received: 27.06.1990

 English version: Theoretical and Mathematical Physics, 1991, 86:2, 159–168

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