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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 1, Pages 13–21
DOI: https://doi.org/10.4213/tmf8474 (Mi tmf8474) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Conservation laws for classical particles in anti-de Sitter–Beltrami space

T. Angsachon, S. N. Manida, M. E. Chaikovskii

Saint-Petersburg State University, St. Petersburg, Russia
Full-text PDF (345 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8474
Abstract: The behavior of free classical pointlike particles is governed by conservation laws in the anti-de Sitter space. We present the general form of these laws and their realization in the Beltrami coordinates. In these coordinates, we can pass to the nonrelativistic limit resulting in physics in the $R$ space. We construct the initial covariant distribution function for an ideal gas uniformly filling the entire $R$ space.
Keywords: relativity principle, relativistic kinematics, anti-de Sitter space, Beltrami coordinates.
Received: 19.12.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 1, Pages 843–850
DOI: https://doi.org/10.1007/s11232-013-0071-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. Angsachon, S. N. Manida, M. E. Chaikovskii, “Conservation laws for classical particles in anti-de Sitter–Beltrami space”, TMF, 176:1 (2013), 13–21; Theoret. and Math. Phys., 176:1 (2013), 843–850
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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