title: |
Symmetries of the Fokker-Type Relativistic Mechanics in Various Forms of Dynamics |
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publication: |
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| volume-issue: | 3 - 3-4 | |
| pages: | 357 - 371 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.1996.3.3-4.14 (how to use a DOI) | |
author(s): |
Roman GAIDA, Volodymyr TRETYAK |
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publication date: |
September 1996 |
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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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |