Backlund transformations for the sl(2) Gaudin magnet

Abstract

Elementary, one- and two-point, Backlund transformations are constructed for the generic case of the sl(2) Gaudin magnet. The spectrality property is used to construct these explicitly given, Poisson integrable maps which are time-discretizations of the continuous flows with any Hamiltonian from the spectral curve of the 2x2 Lax matrix.

17 pages, LaTeX, refs added

References in corpus (1)

• Quantum Backlund transformation for the integrable DST model

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