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Isotropic Forms of Dynamics in the Relativistic Direct Interaction Theory

A. Duviryak·V. Shpytko·V. Tretyak
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Abstract

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.

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A. Duviryak, V. Shpytko, V. Tretyak. 1998-12-15. Isotropic Forms of Dynamics in the Relativistic Direct Interaction Theory. https://arxiv.org/abs/hep-th/9812125

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