Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-11-24
Lett. Math. Phys. 80 (2007) 199-209
Nonlinear Sciences
Exactly Solvable and Integrable Systems
9 pages
Scientific paper
10.1007/s11005-007-0162-2
The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is
an integrable cellular automaton in one-dimension. By the combinatorial Bethe
ansatz, the initial value problem is solved for arbitrary states in terms of an
ultradiscrete analogue of the Riemann theta function with rational
characteristics.
Kuniba Atsuo
Sakamoto Reiho
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