Discrete integrable systems associated with relativistic collisions

被引：2
|
作者：
Kouloukas, Theodoros E. [1 ]
机构：
[1] Univ Lincoln, Sch Math & Phys, Lincoln, England
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2023年 / 456卷
关键词：
Discrete integrable systems; Yang-Baxter maps; 3D consistent lattice equations; Poisson structures; Relativistic collisions; YANG-BAXTER MAPS; MAPPINGS;
D O I：
10.1016/j.physd.2023.133937
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：7
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