Results 31 to 40 of about 840 (180)
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
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The spectrum of quantum-group-invariant transfer matrices
Nuclear Physics B, 2019 Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv ...
Rafael I. Nepomechie, Ana L. Retore
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Boundary perimeter Bethe ansatz [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 21 pages, 10 ...
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Bethe Ansatz inside Calogero-Sutherland models
SciPost PhysicsWe study the trigonometric quantum spin-Calogero–Sutherland model, and the Haldane–Shastry spin chain as a special case, using a Bethe-Ansatz analysis. We harness the model's Yangian symmetry to import the standard tools of integrability for Heisenberg ...
Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk, Didina Serban
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Jordan blocks and the Bethe Ansatz I: The eclectic spin chain as a limit
Nuclear Physics B, 2022 We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors.
Juan Miguel Nieto García, Leander Wyss
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Spin-12 XYZ model revisit: General solutions via off-diagonal Bethe ansatz
Nuclear Physics B, 2014 The spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T–Q ...
Junpeng Cao +4 more
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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.A dynamical system is studied such that belongs to a class of Buslaev nets. This class contains traffic models with complex network structure. We provide results for a more general system than the system that was in consideration earlier. A new version of model has been provided.
Marina Yashina +3 more
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Journal of Physics A: Mathematical and Theoretical, 2016 We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the
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Quantum computing via the Bethe ansatz [PDF]
Quantum Information Processing, 2011 6 pages.
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On the Replica Symmetric Solution in General Diluted Spin Glasses
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
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