Nazarenko A. Reduction of degrees of freedom within relativistic Hamiltonian dynamics

Object of investigation: classical relativistic systems of interacting particles. Aim: Hamiltonian description of the systems with direct interaction. Tools: Hamiltonian mechanics with constraints. Results: the canonical basis is found for the observables of electromagnetic field and particles. Procedure of reduction of the field degrees of freedom is suggested. The canonical realization of the Poincare group is found for the systems of particles with electromagnetic, massive vector and scalar interactions in the linear approximation in the coupling constant.Physical equivalence of the instant and front form dynamics is proved for the system of interacting particles. The Liouville equation is generalized in the case of the systems with constraints. The explicit expression for the partition function of the system of charges is obtained in the front form of dynamics. Influence of relativistic effects on thermodynamics of the system of charges is estimated. Inculcation: scientific publications. Application: high energy physics, theoretical astrophysics.