Periodic and open classical spin Calogero-Moser chains

2023/02/28 by Nicolai Reshetikhin, Reshetikhin, Nicolai · 1 citation
Mathematics · Physics and Astronomy · #17B80 #37J35 #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2302.14281

openalex publication_date 2023/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a class of interacting spin Calogero-Moser type systems. They can be regarded as a many particle system with spin degrees of freedom and as an integrable spin chain of Gaudin type. We prove that these Hamiltonian systems are superintegrable.

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