Application of the Yang-Baxter equation to particle collisions

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February 27, 2019
11.00 – 13.00 – F2
Giuseppe Rizzello

The set-theoretical Yang-Baxter equation presents a form, called two-parameter set-theoretical Yang-Baxter equation, where the solutions depends precisely from two parameters. This formulation can be used in the study of systems of particles which collide among themselves, since from the conservation laws of this system we can derive the velocities after the collisions in terms of their masses (the parameters) and their velocities before the collisions and obtain this way a solution of said equation. This fact allow us to examine the integrability (that is the solvability) of a particular system periodic sequences of collisions.