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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 3, Pages 499–504
DOI: https://doi.org/10.4213/tmf8904 (Mi tmf8904) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Dynamics of interacting particles with $SL(2,\mathbb R)$ symmetry

S. N. Manida

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (329 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf8904
Abstract: We consider the evolution principles for a system of classical point-particles whose interaction has an additional $SL(2,\mathbb R)$ symmetry. We establish a relation between the additional conservation laws of the nonrelativistic mechanics and the appropriate conservation laws (in terms of the Beltrami coordinates) in the anti-de Sitter space.
Keywords: relativity principle, relativistic kinematics, anti-de Sitter space, Beltrami coordinates.
Funding agency Grant number
Saint Petersburg State University 11.38.660.2013
Received: 28.02.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 3, Pages 1324–1328
DOI: https://doi.org/10.1007/s11232-015-0341-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. N. Manida, “Dynamics of interacting particles with $SL(2,\mathbb R)$ symmetry”, TMF, 184:3 (2015), 499–504; Theoret. and Math. Phys., 184:3 (2015), 1324–1328
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8904
  • https://www.mathnet.ru/eng/tmf/v184/i3/p499
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:47
    First page:21
     
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