𝖌𝔩(3) Polynomial Integrable System: Different Faces of the 3-Body/𝒜₂ Elliptic Calogero Model
It is shown that the 𝖌𝔩(3) polynomial integrable system, introduced by Sokolov-Turbiner in [J. Phys. A 48 (2015), 155201, 15 pages, arXiv:1409.7439], is equivalent to the 𝖌𝔩(3) quantum Euler-Arnold top in a constant magnetic field. Their Hamiltonian and third-order integral can be rewritten in terms...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212111 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 𝖌𝔩(3) Polynomial Integrable System: Different Faces of the 3-Body/𝒜₂ Elliptic Calogero Model. Alexander V. Turbiner, Juan Carlos Lopez Vieyra and Miguel A. Guadarrama-Ayala. SIGMA 20 (2024), 012, 23 pages |