Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
arXiv:nlin/0611046 · doi:10.1007/s11005-007-0162-2
Abstract
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.
9 pages
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Cited by in corpus (7)
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- Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations
- Ultradiscretization of solvable one-dimensional chaotic maps
- Combinatorial Bethe ansatz and generalized periodic box-ball system
- A crystal theoretic method for finding rigged configurations from paths