Periodic cellular automata and Bethe ansatz

Details Periodic cellular automata and Bethe ansatz Periodic cellular automata and Bethe ansatz

2005-11-04

arxiv.org/abs/math-ph/0511013v3

Physics

Mathematical Physics

8 pages

Scientific paper

We review and generalize the recent progress in a soliton cellular automaton
known as the periodic box-ball system. It has the extended affine Weyl group
symmetry and admits the commuting transfer matrix method and the Bethe ansatz
at q=0. Explicit formulas are proposed for the dynamical period and the number
of states characterized by conserved quantities.

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