Box-Basket-Ball Systems
Quantum Algebra
2012-09-21 v2 Mathematical Physics
math.MP
Abstract
Using the whurl relation of the first two authors, we define a new discrete solitonic system, which we call the box-basket-ball system, generalizing the box-ball system of Takahashi and Satsuma. In box-basket-ball systems balls may be put either into boxes or into baskets. While boxes stay fixed, both balls and baskets get moved during time evolution. Balls and baskets behave as fermionic and bosonic particles respectively. We classify the solitons of this system, and study their scattering.
Cite
@article{arxiv.1011.5930,
title = {Box-Basket-Ball Systems},
author = {Thomas Lam and Pavlo Pylyavskyy and Reiho Sakamoto},
journal= {arXiv preprint arXiv:1011.5930},
year = {2012}
}
Comments
18 pages, 4 figures. (v2) introduction added; additional comments at section 5.4; final version. (v1) 16 pages, 4 figures