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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 55, Number 1, Pages 88–105
(Mi tmf2149)
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This article is cited in 13 scientific papers (total 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
Citation:
R. P. Gaida, Yu. B. Klyuchkovskii, V. I. Tretyak, “Forms of relativistic dynamics in a classical Lagrangian description of a system of particles”, TMF, 55:1 (1983), 88–105; Theoret. and Math. Phys., 55:1 (1983), 372–384
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https://www.mathnet.ru/eng/tmf2149 https://www.mathnet.ru/eng/tmf/v55/i1/p88
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Abstract page: | 379 | Full-text PDF : | 134 | References: | 39 | First page: | 1 |
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