Relativistic collisions as Yang–Baxter maps

Kouloukas, Theodoros E. (2017) Relativistic collisions as Yang–Baxter maps. Physics Letters A, 381 (40). pp. 3445-3449. ISSN 0375-9601. (doi:10.1016/j.physleta.2017.09.007) (KAR id:63628)

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Official URL: https://doi.org/10.1016/j.physleta.2017.09.007

Abstract

We prove that one-dimensional elastic relativistic collisions satisfy the set-theoretical Yang–Baxter equation. The corresponding collision maps are symplectic and admit a Lax representation. Furthermore, they can be considered as reductions of a higher dimensional integrable Yang–Baxter map on an invariant manifold. In this framework, we study the integrability of transfer maps that represent particular periodic sequences of collisions.

Item Type:	Article
DOI/Identification number:	10.1016/j.physleta.2017.09.007
Uncontrolled keywords:	Discrete integrable systems, Yang–Baxter maps, Relativistic collisions.
Subjects:	Q Science
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Theodoros Kouloukas
Date Deposited:	28 Sep 2017 10:56 UTC
Last Modified:	20 May 2025 11:38 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/63628 (The current URI for this page, for reference purposes)

University of Kent Author Information

Kouloukas, Theodoros E..

Creator's ORCID:	https://orcid.org/0000-0002-9903-6788
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