Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics

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dc.creatorKuniba, Atsuo
dc.creatorSakamoto, Reiho
dc.date2006-11-24
dc.date2007-07-10
dc.date.accessioned2026-07-07T08:17:26Z
dc.date.available2026-07-07T08:17:26Z
dc.descriptionThe 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/nlin/0611046
dc.identifierhttp://arxiv.org/abs/nlin/0611046
dc.identifierLett. Math. Phys. 80 (2007) 199-209
dc.identifierdoi:10.1007/s11005-007-0162-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134087
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectCellular Automata and Lattice Gases
dc.titleCombinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
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