Skip to main content
SpringerLink
Log in

Three-parameter relativistic dynamics. 1. Equation of motion. Energy conservation

  • Elementary Particle Physics And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

A formally geometric analog of the relativistic dynamics of a point charged particle is constructed. Time as a function of the spatial coordinates is taken as the trajectory equation, i.e., the trajectory is a hypersurface in Minkowski space. The dynamics is presented. The law of “energy” conservation is examined.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. G. Rogachevskii (ed.), Izv. Vyssh. Uchebn. Zaved. Fiz., VINITI Dep. No. 2227, 09.08.93, Tomsk (1993).

  2. B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  3. J. Thorp, Initial Chapters of Differential Geometry [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  4. Yu. A. Aminov, Geometry of the Vector Field [in Russian], Nauka, Moscow (1990).

    Google Scholar 

Download references

Authors
  1. A. G. Rogachevskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Siberian Technological Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 92–97, June, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rogachevskii, A.G. Three-parameter relativistic dynamics. 1. Equation of motion. Energy conservation. Russ Phys J 38, 622–627 (1995). https://doi.org/10.1007/BF00559932

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559932

Keywords

Search

Navigation