Skip to main content
Log in

Abstract

A model of relativistic dynamics is proposed for classical (nonquantum) multiparticle systems within the Lagrangian formalism on the space of world lines.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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).

    MathSciNet  Google Scholar 

  2. 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).

    MathSciNet  Google Scholar 

  3. R. P. Feynman, “The development of the space-time view of quantum electrodynamics,” Phys. Today 19(8), 31–44 (1966).

    Article  Google Scholar 

  4. L. P. Horwitz and C. Piron, “Relativistic dynamics,” Helv. Phys. Acta 46, 316–326 (1973).

    Google Scholar 

  5. J. R. Fanchi, Parametrized Relativistic Quantum Theory (Kluwer, Dordrecht, 1993).

    Book  Google Scholar 

  6. L. P. Horwitz, “Time and the evolution of states in relativistic classical and quantum mechanics,” arXiv: hepph/9606330.

  7. J. R. Fanchi, “Manifestly covariant quantum theory with invariant evolution parameter in relativistic dynamics,” Found. Phys. 41, 4–32 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  8. B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry: Methods and Applications (Nauka, Moscow, 1979; Springer, New York, 1990).

    Google Scholar 

  9. V. A. Fock, The Theory of Space, Time and Gravitation (Gostekhizdat, Moscow, 1955; Pergamon Press, Oxford, 1963).

    Google Scholar 

  10. 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).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Zharinov.

Additional information

Original Russian Text © V.V. Zharinov, 2014, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Vol. 285, pp. 128–139.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zharinov, V.V. A model of relativistic dynamics. Proc. Steklov Inst. Math. 285, 120–131 (2014). https://doi.org/10.1134/S0081543814040099

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0081543814040099

Keywords

Navigation