A Quantization of Box-Ball Systems
Exactly Solvable and Integrable Systems
2009-11-10 v1 Quantum Algebra
Cellular Automata and Lattice Gases
Abstract
An L operator is presented related to an infinite dimensional limit of the fusion R matrices for U_q(A^{(1)}_{n-1}) and U_q(D^{(1)}_n). It is factorized into the local propagation operators which quantize the deterministic dynamics of particles and antiparticles in the soliton cellular automata known as the box-ball systems and their generalizations. Some properties of the dynamical amplitudes are also investigated.
Cite
@article{arxiv.nlin/0404047,
title = {A Quantization of Box-Ball Systems},
author = {Rei Inoue and Atsuo Kuniba and Masato Okado},
journal= {arXiv preprint arXiv:nlin/0404047},
year = {2009}
}
Comments
29 pages, 8 figures