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

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Abstract

We consider the evolution principles for a system of classical point-particles whose interaction has an additional SL(2, 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.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    S. N. Manida

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  1. S. N. Manida
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Correspondence to S. N. Manida.

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 184, No. 3, pp. 499–504, September, 2015.

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Manida, S.N. Dynamics of interacting particles with SL(2, R) symmetry. Theor Math Phys 184, 1324–1328 (2015). https://doi.org/10.1007/s11232-015-0341-8

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  • DOI: https://doi.org/10.1007/s11232-015-0341-8

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