Elliptic solutions to difference non-linear equations and nested Bethe ansatz equations
solv-int
2007-05-23 v1 高能物理 - 理论
可精确求解与可积系统
摘要
We outline an approach to a theory of various generalizations of the elliptic Calogero-Moser (CM) and Ruijsenaars-Shneider (RS) systems based on a special inverse problem for linear operators with elliptic coefficients. Hamiltonian theory of such systems is developed with the help of the universal symplectic structure proposed by D.H. Phong and the author. Canonically conjugated action-angle variables for spin generalizations of the elliptic CM and RS systems are found.
引用
@article{arxiv.solv-int/9804016,
title = {Elliptic solutions to difference non-linear equations and nested Bethe ansatz equations},
author = {I. M. Krichever},
journal= {arXiv preprint arXiv:solv-int/9804016},
year = {2007}
}
备注
21 pages, Latex, no figures