Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911520333496320 |
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| author | Tsujimoto, Satoshi Vinet, Luc Zhedanov, Alexei |
| author_facet | Tsujimoto, Satoshi Vinet, Luc Zhedanov, Alexei |
| contents | The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second order $q$-difference operators with a raising action on elementary rational functions with poles on the Askey-Wilson grid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15595 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators Tsujimoto, Satoshi Vinet, Luc Zhedanov, Alexei Mathematical Physics Classical Analysis and ODEs 33D45, 47B36 The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second order $q$-difference operators with a raising action on elementary rational functions with poles on the Askey-Wilson grid. |
| title | Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators |
| topic | Mathematical Physics Classical Analysis and ODEs 33D45, 47B36 |
| url | https://arxiv.org/abs/2603.15595 |