A bispectral q-hypergeometric basis for a class of quantum integrable models (Q3134113): Difference between revisions

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+Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials
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+Bispectral commuting difference operators for multivariable Askey-Wilson polynomials
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+Raising and lowering operators for Askey-Wilson polynomials
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+An exactly solvable spin chain related to Hahn polynomials
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+Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
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+A system of multivariable Krawtchouk polynomials and a probabilistic application
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+Solvable discrete quantum mechanics: <i>q</i>-orthogonal polynomials with q=1 and quantum dilogarithm
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+Q3138336
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+vector valued spherical functions and macdonald–koornwinder polynomials
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+Nonsymmetric Koornwinder polynomials and duality
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+Commuting difference operators with polynomial eigenfunctions
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+Difference Calogero–Moser systems and finite Toda chains
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+Generalized Macdonald-Ruijsenaars systems.
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+Integrable boundary interactions for Ruijsenaars' difference Toda chain
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+Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
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+Diagonalization of an integrable discretization of the repulsive delta Bose gas on the circle
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+Lax operator for Macdonald symmetric functions
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+Integrable hierarchy of the quantum Benjamin-Ono equation
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+Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
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+Correspondence between conformal field theory and Calogero-Sutherland model
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+Koornwinder polynomials and the \(XXZ\) spin chain
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+Askey-Wilson polynomials and the quantum \(\text{SU} (2)\) group: Survey and applications
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+``Hidden symmetry'' of Askey-Wilson polynomials
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+Quantum deformations of SU(2)
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+Nonstandard \(U_q(\text{so}_3)\) and \(U_q(\text{so}_4)\): Tensor products of representations, oscillator realizations and roots of unity
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+Quantum zonal spherical functions and Macdonald polynomials
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+Q4661506
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+Double affine Hecke algebras and Macdonald's conjectures
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+Some multivariable orthogonal polynomials of the Askey tableau-discrete families
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+Bispectrality of multivariable Racah-Wilson polynomials
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+Two relations that generalize the \(q\)-Serre relations and the Dolan-Grady relations.
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+An integrable structure related with tridiagonal algebras
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+Racah polynomials and recoupling schemes of \(\mathfrak{su}(1,1)\)
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+Leonard pairs and the \(q\)-Racah polynomials
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+Boundary conditions for integrable quantum systems
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+Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
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+Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
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+Master symmetries of the XY model
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+Onsager algebra and integrable lattice models
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+Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
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+A new (in)finite-dimensional algebra for quantum integrable models
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+A new current algebra and the reflection equation
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+The central extension of the reflection equations and an analog of Miki’s formula
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+The half-infinite XXZ chain in Onsager's approach
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+A deformed analogue of Onsager’s symmetry in the XXZ open spin chain
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+The subconstituent algebra of an association scheme. III
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+Some algebra related to \(P\)- and \(Q\)-polynomial association schemes
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+Mutual integrability, quadratic algebras, and dynamical symmetry
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+The \(q\)-version of a theorem of Bochner
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+Q3366978
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+Affine Hecke algebras and raising operators for Macdonald polynomials
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+Q3218140
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+Two linear transformations each tridiagonal with respect to an eigenbasis of the other
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+THE AUGMENTED TRIDIAGONAL ALGEBRA
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+A classification of sharp tridiagonal pairs
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+Tridiagonal pairs of \(q\)-Racah type
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+A family of tridiagonal pairs and related symmetric functions
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+On the shape of a tridiagonal pair
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+Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
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+Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
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+The complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
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+Exact solution of XXZ spin chain with unparallel boundary fields
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+Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end
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+Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases
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+Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases
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+Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
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+Bethe states of the XXZ spin-\(\frac{1}{2}\) chain with arbitrary boundary fields
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+Functional relations from the Yang-Baxter algebra: Eigenvalues of the \(XXZ\) model with non-diagonal twisted and open boundary conditions
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+Off-shell scalar products for the \(XXZ\) spin chain with open boundaries
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+Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms
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+On the complete-spectrum characterization of quantum integrable spin chains via inhomogeneous<i>T</i>–<i>Q</i>relation
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+Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables
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+Algebraization of difference eigenvalue equations related to \(U_q(\text{sl}_2)\)
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+On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
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+Difference equations in spin chains with a boundary
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+Quantum symmetric Kac-Moody pairs
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+\(sl(N)\) Onsager's algebra and integrability
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+Some functions that generalize the Askey-Wilson polynomials
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+Multivariable Askey-Wilson function and bispectrality
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+Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
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A bispectral <i>q-</i>hypergeometric basis for a class of quantum integrable models (Q3134113): Difference between revisions

Latest revision as of 02:13, 15 July 2024

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Mathematics(1 entry)