English

3D symplectic map

solv-int 2009-10-31 v1 Exactly Solvable and Integrable Systems

Abstract

Quantum 3D R-matrix in the classical (i.e. functional) limit gives a symplectic map of dynamical variables. The corresponding 3D evolution model is considered. An auxiliary problem for it is a system of linear equations playing the role of the monodromy matrix in 2D models. A generating function for the integrals of motion is constructed as a determinant of the auxiliary system.

Keywords

Cite

@article{arxiv.solv-int/9802014,
  title  = {3D symplectic map},
  author = {S. M. Sergeev},
  journal= {arXiv preprint arXiv:solv-int/9802014},
  year   = {2009}
}

Comments

LaTeX, 13 pages