Soviet Physics Journal

, Volume 20, Issue 3, pp 312–316 | Cite as

Equations of motion for a test particle in an external field in the special theory of relativity

  • N. N. Razgovorov
Article
  • 17 Downloads

Abstract

A study is made of the general-covariant equations of motion of Trautman for a particle interacting with an external field. It is shown that in the general case the relativistic equations of motion are not solvable for the acceleration four-vector but have the form aik(Dukds) = Fi. Formulas are given foraik and Fi by means of which they can be calculated in terms of the known Lagrangian. Examples are given of the motion of a particle in tensor fields of rank zero, one, and two. The Hamilton-Jacobi equation for an arbitrary interaction law is constructed.

Keywords

Relativistic Equation External Field Test Particle Special Theory Tensor Field 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. Trautman, Bull. Acad. Polon. Sci., cl. III,5, 721 (1957).Google Scholar
  2. 2.
    E. Schmutzer, Symmetry and Laws of Conservation in Physics [Russian translation], Mir, Moscow (1974), p. 62.Google Scholar
  3. 3.
    V. I. Rodichev, The Theory of Gravitation in an Orthogonal Frame of Reference [in Russian], Nauka, Moscow (1974), p. 40; see also: Einstein Collection [in Russian], Nauka, Moscow (1968), p. 166.Google Scholar
  4. 4.
    N. N. Razgovorov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 143 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • N. N. Razgovorov
    • 1
  1. 1.All-Union Correspondence Institute of Machine ConstructionUSSR

Personalised recommendations