Baxter Q-operator for the hyperbolic Calogero--Moser system
Abstract
We introduce a Q-operator Qz 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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