Title:ISOTROPIC FORMS OF DYNAMICS IN THE RELATIVISTIC DIRECT INTERACTION THEORY
Authors:A.Duviryak, V.Shpytko, V.Tretyak (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine 1 Svientsitskii St., 290011 Lviv-11, Ukraine)

The Lagrangian relativistic direct interaction theory in the various forms of dynamics is formulated and its connections with the Fokker-type action theory and with the constrained Hamiltonian mechanics are established. The motion of classical two-particle system with relativistic direct interaction is analysed within the framework of isotropic forms of dynamics in the two- and four-dimensional space-time. Some relativistic exactly solvable quantum-mechanical models are also discussed.

Key words: relativistic mechanics, Lagrangian formalism, Hamiltonian formalism, constrained system, Fokker-type action.
Comments: Figs. 12, Refs. 68, Tabs. 0.