Baxter \(Q\)-operator for the hyperbolic Calogero-Moser system

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Difference operators (39A70)

Cites Work

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Product formulas for the relativistic and nonrelativistic conical functions
Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
Zero-eigenvalue eigenfunctions for differences of elliptic relativistic Calogero-Moser hamiltonians
\(Q\)-operator and factorised separation chain for Jack polynomials
Harmonic analysis for certain representations of graded Hecke algebras
Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
Partition function of the eight-vertex lattice model
Bispectrality for the quantum Ruijsenaars model and its integrable deformation
Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems
Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type: I. First Steps
Encyclopedia of Special Functions: The Askey-Bateman Project
A Recursive Construction of Joint Eigenfunctions for the Hyperbolic Nonrelativistic Calogero-Moser Hamiltonians
On Bäcklund transformations for many-body systems
The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
The Dunkl-Laplace transform and Macdonald’s hypergeometric series
Anyons and the elliptic Calogero-Sutherland model
Baxter operators in Ruijsenaars hyperbolic system. I: Commutativity of \(Q\)-operators.
Baxter operators in Ruijsenaars hyperbolic system. II: Bispectral wave functions.

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