3D symplectic map

Details 3D symplectic map 3D symplectic map

1998-02-21

arxiv.org/abs/solv-int/9802014v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 13 pages

Scientific paper

10.1016/S0375-9601(99)00072-9

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.

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