Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical duality
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929733262901248 |
|---|---|
| author | Potapov, R. Zotov, A. |
| author_facet | Potapov, R. Zotov, A. |
| contents | We describe the Ruijsenaars' action-angle duality in classical many-body integrable systems through the spectral duality transformation relating the classical spin chains and Gaudin models. For this purpose, the Lax matrices of many-body systems are represented in the multi-pole (Gaudin-like) form by introducing a fictitious spectral parameter. This form of Lax matrices is also interpreted as classical-classical version of quantum-classical duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19035 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical duality Potapov, R. Zotov, A. Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems We describe the Ruijsenaars' action-angle duality in classical many-body integrable systems through the spectral duality transformation relating the classical spin chains and Gaudin models. For this purpose, the Lax matrices of many-body systems are represented in the multi-pole (Gaudin-like) form by introducing a fictitious spectral parameter. This form of Lax matrices is also interpreted as classical-classical version of quantum-classical duality. |
| title | Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical duality |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2410.19035 |