Interrelations between dualities in classical integrable systems and a classical-classical version of the quantum-classical duality

被引：0

作者：

Potapov, R. A. ^{[1
,2
]}

Zotov, A. V. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

[2] Lomonosov Moscow State Univ, Inst Theoret & Math Phys, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2025年 / 222卷 / 02期

关键词：

integrable systems; spectral duality; Rui[!text type='js']js[!/text]enaars duality; quantum-classical duality; MOMENT MAPS; EQUATION;

D O I：

10.1134/S0040577925020059

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 a classical-classical version of the quantum-classical duality.

引用

页码：252 / 275

页数：24

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