English

Discrete integrable systems associated with relativistic collisions

Exactly Solvable and Integrable Systems 2023-09-28 v2 Mathematical Physics math.MP

Abstract

We study vector quadrirational Yang-Baxter maps representing the momentum-energy transformation of two particles after elastic relativistic collisions. The collision maps admit Lax representations compatible with an r-matrix Poisson structure and correspond to integrable systems of quadrilateral lattice equations.

Keywords

Cite

@article{arxiv.2305.06990,
  title  = {Discrete integrable systems associated with relativistic collisions},
  author = {Theodoros E. Kouloukas},
  journal= {arXiv preprint arXiv:2305.06990},
  year   = {2023}
}
R2 v1 2026-06-28T10:32:17.584Z