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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212111 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineBe the first to leave a comment!