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IHEP 97 - 84
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| S.N.Sokolov | ||
| Mechanics with Retarded Interactions | ||
| Protvino, 1997.- p.31, figs. 5, refs.:44. | ||
The classical relativistic equations of motion for the system of particles with retarded interactions are completed by the equations for the evolution of the state of the mediator of interactions (of reduced field). Various forces (principle, decay, and echo forces) corresponding to different physical assumptions about the field behaviour are considered. The structure of the principle forces corresponding to the nonrelativistic potential is found. The structure and stabilizing role of the decay forces dependent on the the state of the reduced field is considered. For the case of two particles, the dependence of the decay rate of the reduced field on the strength of the decay forces is found in the adiabatic approximation. It is shown, that with a certain choice of the decay forces, the stable orbital motion and elastic scattering of particles is possible at arbitrary relative velocities. The examples of the exact and numerical solutions of the equations of motion with retarded interactions are given.
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