3D symplectic map

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.

LaTeX, 13 pages

References in corpus (3)

• Quantum Dilogarithm
• Hirota equation as an example of integrable symplectic map
• The vertex formulation of the Bazhanov-Baxter Model

Cited by in corpus (6)

• Quantum 2+1 evolution model
• On exact solution of a classical 3D integrable model
• Quantization of three-wave equations
• Explicit Free Parameterization of the Modified Tetrahedron Equation
• Solitons in a 3d integrable model
• The modified tetrahedron equation and its solutions