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arXiv · 2311.03946

Baxter $Q$-operator for the hyperbolic Calogero--Moser system

Martin Hallnäs
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Abstract

We introduce a $Q$-operator $\mathcal{Q}_z$ for the hyperbolic Calogero--Moser system as a one-parameter family of explicit integral operators. We establish the standard properties of a $Q$-operator, i.e.~invariance of Hamiltonians, commutativity for different parameter values and that its eigenvalues satisfy an explicitly given first order ordinary difference equation in the parameter $z$.

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BibTeXRIS

Martin Hallnäs. 2023-11-07. Baxter $Q$-operator for the hyperbolic Calogero--Moser system. https://arxiv.org/abs/2311.03946

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