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A QUANTIZATION OF BOX-BALL SYSTEMS

R. INOUE

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan

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A. KUNIBA

Institute of Physics, University of Tokyo, Tokyo 153-8902, Japan

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, and

M. OKADO

Division of Mathematical Science, Graduate School of Engineering Science, Osaka University, Osaka 560-8531, Japan

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https://doi.org/10.1142/S0129055X04002254Cited by:4 (Source: Crossref)

Abstract

An L operator is presented related to an infinite dimensional limit of the fusion R matrices for and . It is factorized into the local propagation operators which quantize the deterministic dynamics of particles and antiparticles in the soliton cellular automata known as the box-ball systems and their generalizations. Some properties of the dynamical amplitudes are also investigated.

Keywords:

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