Quantum 2+1 evolution model
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9811003,
title = {Quantum 2+1 evolution model},
author = {S. M. Sergeev},
journal= {arXiv preprint arXiv:solv-int/9811003},
year = {2009}
}
Comments
LaTeX, 37pages