A QUANTIZATION OF BOX-BALL SYSTEMS
R. INOUE, A. KUNIBA, M. OKADO · Reviews in Mathematical Physics · 2004
An L operator is presented related to an infinite dimensional limit of the fusion R matrices for [Formula: see text] and [Formula: see text]. 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.