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Towards Finite-Gap Integration of the Inozemtsev Model

Keywords: finite-gap integration , Inozemtsev model , Heun's equation , Darboux transformation

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The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some approaches to the finite-gap integration for multivariable models.


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