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‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models - MaRDI portal

‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models (Q5875878)

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scientific article; zbMATH DE number 7650521

Language	Label	Description	Also known as
English	‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models	scientific article; zbMATH DE number 7650521

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scholarly article

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‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models (English)

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Alexandre Faribault

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Journal of Physics A: Mathematical and Theoretical

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publication date

6 February 2023

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full work available at URL

https://arxiv.org/abs/1812.06428

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zbMATH Keywords

numbers

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MaRDI profile type

MaRDI publication profile

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The Bethe Wavefunction

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A restricted class of exact eigenstates of the pairing-force Hamiltonian

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Spectroscopy of discrete energy levels in ultrasmall metallic grains

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Solution for the dynamics of the BCS and central spin problems

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The elliptic Gaudin model: a numerical study

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Generalized Gaudin systems in a magnetic field and non-skew-symmetric<i>r</i>-matrices

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Non-skew-symmetric classical<i>r</i>-matrices and integrable cases of the reduced BCS model

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Non-skew-symmetric classical r-matrices and integrable ``\(p_x +ip_y\)'' proton-neutron BCS models

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Elliptic three-boson system, ``two-level three-mode'' JCD-type models and non-skew-symmetric classical r-matrices

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TRIGONOMETRIC sℓ(2) GAUDIN MODEL WITH BOUNDARY TERMS

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On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system

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An integrable case of the<i>p</i>+ i<i>p</i>pairing Hamiltonian interacting with its environment

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Solution of the classical Yang-Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model

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Quadratic operator relations and Bethe equations for spin-1/2 Richardson–Gaudin models

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Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose Einstein condensates and metallic nanograins

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Exactly-solvable models derived from a generalized Gaudin algebra

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Algebraic Bethe ansatz for the XXZ Gaudin models with generic boundary

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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 - I: Triangular cases

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

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

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Algebraic Bethe ansatz for the \(XYZ\) Gaudin model

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Anisotropic BCS-Richardson model and algebraic Bethe ansatz

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Classical $r$-matrices, ``elliptic'' BCS and Gaudin-type Hamiltonians and spectral problem

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On the determinant representations of Gaudin models’ scalar products and form factors

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Identifiers

10.1088/1751-8121/ac92ac

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5875878

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