Painleve VI, Rigid Tops and Reflection Equation
量子代数
2009-11-11 v2 高能物理 - 理论
数学物理
math.MP
可精确求解与可积系统
摘要
We show that the Painlev{\'e} VI equation has an equivalent form of the non-autonomous Zhukovsky-Volterra gyrostat. This system is a generalization of the Euler top in and include the additional constant gyrostat momentum. The quantization of its autonomous version is achieved by the reflection equation. The corresponding quadratic algebra generalizes the Sklyanin algebra. As by product we define integrable XYZ spin chain on a finite lattice with new boundary conditions.
引用
@article{arxiv.math/0508058,
title = {Painleve VI, Rigid Tops and Reflection Equation},
author = {A. Levin and M. Olshanetsky and A. Zotov},
journal= {arXiv preprint arXiv:math/0508058},
year = {2009}
}
备注
32 pages, typos corrected