Zhelobenko–Stern formulas and $B_n$ Toda wave functions

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-06-05 DOI:10.1007/s11005-024-01824-w

A. Galiullin, S. Khoroshkin, M. Lyachko

引用次数: 0

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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柘洛宾科-斯特恩公式和$B_n$$户田波函数

利用在相应的格尔芬-采林基础上的正交李代数发生器作用的哲洛宾科-斯特恩公式，我们推导出了$B_n$托达晶格的波函数的梅林-巴恩斯陈述。它们与 Iorgov-Shadura 公式一致。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.

Zhelobenko–Stern formulas and \(B_n\) Toda wave functions

Abstract