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arXiv · 2402.16120

Zhelobenko-Stern formulas and $B_n$ Toda wave functions

Artur Galiullin·Sergey Khoroshkin·Maxim Lyachko
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Abstract

Using Zhelobenko-Stern formulas for the action of the generators of orthogonal Lie algebra in corresponding Gelfand-Tsetlin basis, we derive Mellin-Barnes presentations for the wave functions of $B_n$ Toda lattice. They are in accordance with Iorgov-Shadura formulas.

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Artur Galiullin, Sergey Khoroshkin, Maxim Lyachko. 2024-02-25. Zhelobenko-Stern formulas and $B_n$ Toda wave functions. https://arxiv.org/abs/2402.16120

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