Trigonometric Darboux transformations and Calogero-Moser matrices

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

10.1017/S0017089508004813

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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