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arXiv · 0807.2888

Trigonometric Darboux transformations and Calogero-Moser matrices

Luc Haine·Emil Horozov·Plamen Iliev
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Abstract

We characterize in terms of Darboux transformations the spaces in the Segal-Wilson rational Grassmannian, which lead to commutative rings of differential operators having coefficients which are rational functions of e^x. The resulting subgrassmannian is parametrized in terms of trigonometric Calogero-Moser matrices.

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Luc Haine, Emil Horozov, Plamen Iliev. 2008-07-17. Trigonometric Darboux transformations and Calogero-Moser matrices. https://doi.org/10.1017/s0017089508004813

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