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3D symplectic map

S. M. Sergeev
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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.

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S. M. Sergeev. 1998-02-21. 3D symplectic map. https://doi.org/10.1016/s0375-9601(99)00072-9

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