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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1999 Volume 118, Number 3, Pages 479–487 (Mi tmf721)

This article is cited in 5 papers

A three-dimensional quantum integrable mapping

S. M. Sergeev

Branch of the Institute of Nuclear Physics

Abstract: We derive a three-dimensional integrable mapping that gives the $R$-matrix of the Zamolodchikov model in the cyclic representation limit. We construct the discrete-time evolution generated by this mapping and derive a generating function for the integrals of motion.

DOI: 10.4213/tmf721


 English version:
Theoretical and Mathematical Physics, 1999, 118:3, 378–384

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© Steklov Math. Inst. of RAS, 2026