Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry
DOI10.1007/s00220-022-04350-9zbMath1496.37061arXiv2108.00499OpenAlexW3188610289MaRDI QIDQ2129297
T. F. Görbe, Jan Felipe van Diejen
Publication date: 22 April 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00499
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly and quasi-solvable systems arising in quantum theory (81U15) Difference operators (39A70) Other special orthogonal polynomials and functions (33C47) Special quantum systems, such as solvable systems (81Q80) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
Uses Software
Cites Work
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- Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space
- Source identities and kernel functions for the deformed Koornwinder-van Diejen models
- Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. I: The eigenfunction identities
- The quantum dynamics of the compactified trigonometric Ruijsenaars-Schneider model
- Schur functions: Theme and variations
- Elliptic functions and applications
- Perturbation theory for linear operators.
- Action-angle maps and scattering theory for some finite-dimensional integrable systems. III: Sutherland type systems and their duals
- Multivariable \(q\)-Racah polynomials
- Elliptic double affine Hecke algebras
- Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type IV. The relativistic Heun (van Diejen) case
- Quantum Lax pairs via Dunkl and Cherednik operators
- New compact forms of the trigonometric Ruijsenaars-Schneider system
- Elliptic hypergeometric functions and Calogero-Sutherland-type models
- Jacobi-Trudy formula for generalised Schur polynomials
- Quantum integrability of the generalized elliptic Ruijsenaars models
- Integrability of difference Calogero–Moser systems
- Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars–Schneider systems
- Conserved operators of the generalized elliptic Ruijsenaars models
- Difference Calogero–Moser systems and finite Toda chains
- Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883
- Elliptic Ruijsenaars Difference Operators on Bounded Partitions
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