Equations in dual variables for Whittaker functions

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dc.creatorBabelon, O.
dc.date2003-07-18
dc.date.accessioned2026-07-07T04:30:22Z
dc.date.available2026-07-07T04:30:22Z
dc.descriptionIt 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 $λ_i$.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0307037
dc.identifierhttp://arxiv.org/abs/math-ph/0307037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57446
dc.subjectMathematical Physics
dc.titleEquations in dual variables for Whittaker functions
dc.typetext

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