Box-ball system with reflecting end
可精确求解与可积系统
2015-06-26 v1 数学物理
math.MP
量子代数
元胞自动机与格子气
摘要
A soliton cellular automaton on a one dimensional semi-infinite lattice with a reflecting end is presented. It extends a box-ball system on an infinite lattice associated with the crystal base of U_q(sl_n). A commuting family of time evolutions are obtained by adapting the K matrices and the double row construction of transfer matrices in solvable lattice models to a crystal setting. Factorized scattering among the left and the right moving solitons and the boundary reflection rule are determined.
关键词
引用
@article{arxiv.nlin/0411044,
title = {Box-ball system with reflecting end},
author = {Atsuo Kuniba and Masato Okado and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0411044},
year = {2015}
}
备注
32 pages, 12 figure