Baxter Q-operator for the hyperbolic Calogero-Moser system
Journal article, 2024
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.
Heckman-Opdam hypergeometric functions
Baxter Q-operators
Calogero-Moser systems
Author
Martin Hallnäs
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Journal of Physics A: Mathematical and Theoretical
1751-8113 (ISSN) 1751-8121 (eISSN)
Vol. 57 22 225203Quasi-invariants of finite Coxeter groups and integrable systems
Swedish Research Council (VR) (2018-04291), 2019-01-01 -- 2022-12-31.
Subject Categories
Subatomic Physics
Computational Mathematics
Mathematical Analysis
DOI
10.1088/1751-8121/ad469b