Abstract
A model of relativistic dynamics is proposed for classical (nonquantum) multiparticle systems within the Lagrangian formalism on the space of world lines.
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E. C. G. Stueckelberg, “Remarque à propos de la création de paires de particules en théorie de relativité,” Helv. Phys. Acta 14, 588–594 (1941).
E. C. G. Stueckelberg, “La mécanique du point matériel en théorie de relativité et en théorie des quanta,” Helv. Phys. Acta 15, 23–37 (1942).
R. P. Feynman, “The development of the space-time view of quantum electrodynamics,” Phys. Today 19(8), 31–44 (1966).
L. P. Horwitz and C. Piron, “Relativistic dynamics,” Helv. Phys. Acta 46, 316–326 (1973).
J. R. Fanchi, Parametrized Relativistic Quantum Theory (Kluwer, Dordrecht, 1993).
L. P. Horwitz, “Time and the evolution of states in relativistic classical and quantum mechanics,” arXiv: hepph/9606330.
J. R. Fanchi, “Manifestly covariant quantum theory with invariant evolution parameter in relativistic dynamics,” Found. Phys. 41, 4–32 (2011).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry: Methods and Applications (Nauka, Moscow, 1979; Springer, New York, 1990).
V. A. Fock, The Theory of Space, Time and Gravitation (Gostekhizdat, Moscow, 1955; Pergamon Press, Oxford, 1963).
L. D. Landau and E. M. Lifshitz, Theoretical Physics, Vol. 2: Field Theory (Fizmatgiz, Moscow, 1962); Engl. transl.: Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Pergamon, Paris, 1962).
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Original Russian Text © V.V. Zharinov, 2014, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Vol. 285, pp. 128–139.
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Zharinov, V.V. A model of relativistic dynamics. Proc. Steklov Inst. Math. 285, 120–131 (2014). https://doi.org/10.1134/S0081543814040099
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DOI: https://doi.org/10.1134/S0081543814040099