Discrete integrable systems associated with relativistic collisions

Author:

Theodoros E. Kouloukas

Keyword:

Nonlinear Sciences, Exactly Solvable and Integrable Systems, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics (math-ph)

journal:

date:

2023-05-10 16:00:00

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.

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