Integrability of the Inozemtsev spin chain

2024/07/03 by Chalykh, Oleg · 2 citations
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2407.03276

Abstract

We show that the Inozemtsev spin chain is integrable. The conserved quantities (commuting Hamiltonians) are constructed using elliptic Dunkl operators. We also suggest a generalisation.

Cited by

• R-matrix Dunkl operators and spin Calogero-Moser system
• Modular families of elliptic long-range spin chains from freezing

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