Whittaker函数的对偶变量方程
Equations in dual variables for Whittaker functions
摘要：
已知与群SL（N）相关联的Whittaker函数$w(q,λ)$是开Toda链的哈密顿算子的本征函数，因此满足Toda变量$q_i$中的一组微分方程。利用闭Toda链的$q_i$用Sklyanin变量$λ_i$表示的表达式，以及已知的开Toda链与闭Toda链之间的关系，证明了Whittaker函数在$λ_i$中也满足一组新的差分方程.
英文摘要：
It is known that the Whittaker functions $w(q,λ)$ associated to the group SL(N) are eigenfunctions of the Hamiltonians of the open Toda chain, hence satisfy a set of differential equations in the Toda variables $q_i$. Using the expression of the $q_i$ for the closed Toda chain in terms of Sklyanin variables $λ_i$, and the known relations between the open and the closed Toda chains, we show that Whittaker functions also satisfy a set of new difference equations in $λ_i$.
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。
