g_2模型的Bethe方程
Bethe Equations for a g_2 Model
摘要：
本文利用坐标Bethe变换证明了一类三粒子模型的精确可解性，该模型的点相互作用由g_2的根系决定。波函数的统计量没有确定。利用Weyl群的性质，我们还可以找到Bethe方程。值得注意的是，该方法依赖于著名的杨-巴克斯特方程的某个广义版本。这个方程的一类特殊的非平凡解自然出现。
英文摘要：
We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose point-like interactions are determined by the root system of g_2. The statistics of the wavefunction are left unspecified. Using the properties of the Weyl group, we are also able to find Bethe equations. It is notable that the method relies on a certain generalized version of the well-known Yang-Baxter equation. A particular class of non-trivial solutions to this equation emerges naturally.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
