Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
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Publication:2186430
DOI10.1016/j.nuclphysb.2019.114824zbMath1442.82004arXiv1909.02464OpenAlexW2971721468MaRDI QIDQ2186430
Rodrigo A. Pimenta, Pascal Baseilhac
Publication date: 9 June 2020
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.02464
Signal detection and filtering (aspects of stochastic processes) (60G35) Eigenvalues, singular values, and eigenvectors (15A18) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Statistical mechanics of magnetic materials (82D40)
Related Items (11)
The rational Sklyanin algebra and the Wilson and para-Racah polynomials ⋮ Time and band limiting operator and Bethe ansatz ⋮ The missing label of \(\mathfrak{su}_3\) and its symmetry ⋮ The q-Racah polynomials from scalar products of Bethe states ⋮ Bethe ansatz diagonalization of the Heun-Racah operator ⋮ The Heun–Racah and Heun–Bannai–Ito algebras ⋮ Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials ⋮ The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras ⋮ Heun operator of Lie type and the modified algebraic Bethe ansatz ⋮ Heun algebras of Lie type ⋮ Elliptic Kac-Sylvester matrix from difference Lamé equation
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