Journal of Nonlinear Mathematical Physics

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Volume 3, Issue 3-4, September 1996, Pages 357 - 371

Symmetries of the Fokker-Type Relativistic Mechanics in Various Forms of Dynamics

Authors
Roman Gaida, Volodymyr Tretyak
Corresponding Author
Roman Gaida
Available Online 2 September 1996.
DOI
10.2991/jnmp.1996.3.3-4.14How to use a DOI?
Abstract

The single-time nonlocal Lagrangians corresponding to the Fokker-type action integrals are obtained in arbitrary form of relativistic dynamics. The symmetry conditions for such Lagrangians under an arbitrary Lie group acting on the Minkowski space are formulated in various forms of dynamics. An explicit expression for the integrals of motion corresponding to the Poincaré invariance is derived.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
3 - 3-4
Pages
357 - 371
Publication Date
1996/09/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1996.3.3-4.14How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Roman Gaida
AU  - Volodymyr Tretyak
PY  - 1996
DA  - 1996/09/02
TI  - Symmetries of the Fokker-Type Relativistic Mechanics in Various Forms of Dynamics
JO  - Journal of Nonlinear Mathematical Physics
SP  - 357
EP  - 371
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.14
DO  - 10.2991/jnmp.1996.3.3-4.14
ID  - Gaida1996
ER  -