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

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1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)1324-1328
JournalTheoretical and Mathematical Physics
Volume184
Issue number3
DOIs
Publication statusPublished - 2015

Cite this

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title = "Dynamics of interacting particles with SL(2, R) symmetry",
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.",
keywords = "relativity principle, relativistic kinematics, anti-de Sitter space, Beltrami coordinates",
author = "S.N. Manida",
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AB - 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.

KW - relativity principle

KW - relativistic kinematics

KW - anti-de Sitter space

KW - Beltrami coordinates

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DO - 10.1007/s11232-015-0341-8

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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