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arXiv · hep-th/0310260

Elliptic Linear Problem for Calogero-Inozemtsev Model and Painleve VI Equation

A. Zotov
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Abstract

We introduce $3N\times 3N$ Lax pair with spectral parameter for Calogero-Inozemtsev model. The one degree of freedom case appears to have $2\times 2$ Lax representation. We derive it from the elliptic Gaudin model via some reduction procedure and prove algebraic integrability. This Lax pair provides elliptic linear problem for the Painlev{é} VI equation in elliptic form.

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A. Zotov. 2003-10-28. Elliptic Linear Problem for Calogero-Inozemtsev Model and Painleve VI Equation. https://doi.org/10.1023/b%3Amath.0000032753.97756.94

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