An integrable discretization of the rational su(2) Gaudin model and related systems
Exactly Solvable and Integrable Systems
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
The first part of the present paper is devoted to a systematic construction of continuous-time finite-dimensional integrable systems arising from the rational su(2) Gaudin model through certain contraction procedures. In the second part, we derive an explicit integrable Poisson map discretizing a particular Hamiltonian flow of the rational su(2) Gaudin model. Then, the contraction procedures enable us to construct explicit integrable discretizations of the continuous systems derived in the first part of the paper.
Keywords
Cite
@article{arxiv.0707.4088,
title = {An integrable discretization of the rational su(2) Gaudin model and related systems},
author = {Matteo Petrera and Yuri B. Suris},
journal= {arXiv preprint arXiv:0707.4088},
year = {2009}
}
Comments
26 pages, 5 figures