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arXiv · 1706.06361

Relativistic Collisions as Yang-Baxter maps

Theodoros E. Kouloukas
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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.

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Theodoros E. Kouloukas. 2017-09-17. Relativistic Collisions as Yang-Baxter maps. https://doi.org/10.1016/j.physleta.2017.09.007

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