Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical duality
Mathematical Physics
2025-02-28 v3 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.2410.19035,
title = {Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical duality},
author = {R. Potapov and A. Zotov},
journal= {arXiv preprint arXiv:2410.19035},
year = {2025}
}
Comments
24 pages, reference added