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.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] DISCRETE INTEGRABLE SYSTEMS ASSOCIATED WITH THE UNITARY MATRIX MODEL
    McLeod, J. B.
    Wang, C. B.
    ANALYSIS AND APPLICATIONS, 2004, 2 (02) : 101 - 127
  • [2] Three discrete integrable coupling schemes associated with relativistic Toda lattice equation
    Zhao, Qiu-Lan
    Li, Xin-Yue
    Liu, Fa-Sheng
    NONLINEAR AND MODERN MATHEMATICAL PHYSICS, 2013, 1562 : 265 - 279
  • [3] Integrable discrete systems
    Reshetikhin, N
    QUANTUM GROUPS AND THEIR APPLICATIONS IN PHYSICS, 1996, 127 : 445 - 487
  • [4] Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
    Miki, Hiroshi
    Goda, Hiroaki
    Tsujimoto, Satoshi
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
  • [5] Integrable lattice systems associated with a higher order discrete isospectral problem and their integrable discretizations
    Zhu, ZN
    Xue, WM
    Ding, Q
    CHINESE JOURNAL OF PHYSICS, 2002, 40 (06) : 605 - 615
  • [6] Integrable expanding models for discrete systems application: Coupled toda and relativistic toda lattice
    Yang, HX
    Xu, XX
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2005, 19 (13): : 2121 - 2128
  • [7] Nonautonomous discrete integrable systems
    Willox, R
    Tokihiro, T
    Satsuma, J
    CHAOS SOLITONS & FRACTALS, 2000, 11 (1-3) : 121 - 135
  • [8] Duality for discrete integrable systems
    Quispel, GRW
    Capel, HW
    Roberts, JAG
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (18): : 3965 - 3980
  • [9] Hyperdeterminants as integrable discrete systems
    Tsarev, Sergey P.
    Wolf, Thomas
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (45)
  • [10] Discrete integrable systems and geometry
    Bobenko, AI
    XIITH INTERNATIONAL CONGRESS OF MATHEMATICAL PHYSICS (ICMP '97), 1999, : 219 - 226
12345