Work

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

Year: 2025

Type: article

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

Source: Theoretical and Mathematical Physics

DOI: 10.1134/s0040577925020059

Authors: R. A. Potapov, A. V. Zotov

Institutions: Russian Academy of Sciences, Lomonosov Moscow State University, Steklov Mathematical Institute

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Basis Foundation, Ministry of Science and Higher Education of the Russian Federation

Awards: G597338630, G6444257319, G6509858906