This article is cited in 13 papers

Forms of relativistic dynamics in a classical Lagrangian description of a system of particles

R. P. Gaida, Yu. B. Klyuchkovskii, V. I. Tretyak


Abstract: The concept of a form of relativistic dynamics in the classical theory of direct interactions of particles is associated with the foliation of Minkowski space, which determines in it a simultaneity relation and makes it possible to introduce a unique evolution parameter for any set of worldlines. A three-dimensional description of a relativistic system of particles in an arbitrary form of dynamics is developed, and conditions of Poincaré invariance of the Lagrangian formalism are found. A group-theoretical classification of the possible forms of relativistic dynamics is obtained and some concrete forms of dynamics, including the instant, front, and point forms introduced by Dirac, are discussed.

Received: 25.05.1982

 English version: Theoretical and Mathematical Physics, 1983, 55:1, 372–384

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