We introduce a Q -operator 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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Martin Hallnäs (2024) studied this question.
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