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Quantum 2+1 evolution model

S. M. Sergeev
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Abstract

A quantum evolution model in 2+1 discrete space - time, connected with 3D fundamental map R, is investigated. Map R is derived as a map providing a zero curvature of a two dimensional lattice system called "the current system". In a special case of the local Weyl algebra for dynamical variables the map appears to be canonical one and it corresponds to known operator-valued R-matrix. The current system is a kind of the linear problem for 2+1 evolution model. A generating function for the integrals of motion for the evolution is derived with a help of the current system. The subject of the paper is rather new, and so the perspectives of further investigations are widely discussed.

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S. M. Sergeev. 1998-10-31. Quantum 2+1 evolution model. https://doi.org/10.1088/0305-4470%2F32%2F30%2F313

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