The q-Racah polynomials from scalar products of Bethe states (Q6095295)

scientific article; zbMATH DE number 7735313

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English	The q-Racah polynomials from scalar products of Bethe states	scientific article; zbMATH DE number 7735313

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instance of

scholarly article

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title

The q-Racah polynomials from scalar products of Bethe states (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

7 September 2023

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full work available at URL

https://arxiv.org/abs/2211.14727

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zbMATH Keywords

Askey-Wilson algebra

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Leonard pairs

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orthogonal polynomials

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Bethe ansatz

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MaRDI profile type

MaRDI publication profile

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cites work

Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof

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A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols

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Deformed Dolan-Grady relations in quantum integrable models

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Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz

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A new current algebra and the reflection equation

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Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases

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Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz

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Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases

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Scalar product for the XXZ spin chain with general integrable boundaries *

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Why scalar products in the algebraic Bethe ansatz have determinant representation

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Overlap between usual and modified Bethe vectors

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Heun operator of Lie type and the modified algebraic Bethe ansatz

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Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries

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Exact solution of XXZ spin chain with unparallel boundary fields

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Free-Fermion entanglement and orthogonal polynomials

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Linear covariance algebra for SLq(2)

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An embedding of the universal Askey-Wilson algebra into $\operatorname{U}_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2)$

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THE AUGMENTED TRIDIAGONAL ALGEBRA

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Correlation functions of the openXXZchain: I

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On the limit from $q$-Racah polynomials to big $q$-Jacobi polynomials

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Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields

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Algebraic Bethe Ansatz and Correlation Functions

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TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS

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Leonard pairs and the $q$-Racah polynomials

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Leonard pairs from 24 points of view.

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The alternating central extension of the $q$-Onsager algebra

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The $q$-Onsager algebra and its alternating central extension

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LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS

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Off-Diagonal Bethe Ansatz for Exactly Solvable Models

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Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems

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``Hidden symmetry'' of Askey-Wilson polynomials

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Identifiers

arXiv ID

2211.14727

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Mathematics Subject Classification ID

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10.1088/1751-8121/ACEF0C

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Sitelinks

Mathematics(1 entry)

mardi Publication:6095295