Baxter operators in Ruijsenaars hyperbolic system. I: Commutativity of \(Q\)-operators.
DOI10.1007/s00023-023-01364-4MaRDI QIDQ6566120
S. Kharchev, Sergey E. Derkachov, N. Belousov, S. Khoroshkin
Publication date: 3 July 2024
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) 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) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Special quantum systems, such as solvable systems (81Q80) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
Cites Work
- Title not available (Why is that?)
- Product formulas for the relativistic and nonrelativistic conical functions
- Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture
- Limits of elliptic hypergeometric integrals
- Zero-eigenvalue eigenfunctions for differences of elliptic relativistic Calogero-Moser hamiltonians
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
- On the theory of the multiple Gamma function.
- The theory of the double gamma function.
- Discrete Heisenberg-Weyl group and modular group
- Higher order deformed elliptic Ruijsenaars operators
- Bäcklund transformations and Baxter's \(Q\)-operator
- 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
- On Bäcklund transformations for many-body systems
- First order analytic difference equations and integrable quantum systems
- Multiple sine functions
- Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type II. The Two- and Three-Variable Cases
- Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type. III. Factorized Asymptotics
- Hypergeometric identities related to Ruijsenaars systems
- Wave Function for GL(n, ℝ) Hyperbolic Sutherland Model
- Baxter Operators in Ruijsenaars Hyperbolic System IV: Coupling Constant Reflection Symmetry
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