Zhelobenko-Stern formulas and $B_n$ Toda wave functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911783946551296 |
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| author | Galiullin, Artur Khoroshkin, Sergey Lyachko, Maxim |
| author_facet | Galiullin, Artur Khoroshkin, Sergey Lyachko, Maxim |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16120 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Zhelobenko-Stern formulas and $B_n$ Toda wave functions Galiullin, Artur Khoroshkin, Sergey Lyachko, Maxim Representation Theory Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems 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. |
| title | Zhelobenko-Stern formulas and $B_n$ Toda wave functions |
| topic | Representation Theory Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2402.16120 |