Classical $r$-matrices, ``elliptic'' BCS and Gaudin-type Hamiltonians and spectral problem (Q2421482)

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scientific article

Language	Label	Description	Also known as
English	Classical $r$-matrices, ``elliptic'' BCS and Gaudin-type Hamiltonians and spectral problem	scientific article

Statements

scholarly article

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

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publication date

17 June 2019

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.nuclphysb.2019.02.018

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Quadratic algebras and integrable systems

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Separation of variables in the elliptic Gaudin model.

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Integrable models for confined fermions: applications to metallic grains

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<i>Colloquium</i>: Exactly solvable Richardson-Gaudin models for many-body quantum systems

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Exactly-solvable models derived from a generalized Gaudin algebra

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Quantum integrable systems, non-skew-symmetric r-matrices and algebraic Bethe ansatz

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New non-skew symmetric classical<i>r</i>-matrices and ‘twisted’ quasigraded Lie algebras

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Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems

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Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems

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

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Generalized shift elements and classical \(r\)-matrices: construction and applications

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Separation of variables in anisotropic models and non-skew-symmetric elliptic \(r\)-matrix

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Exact solution of the \(XXZ\) Gaudin model with generic open boundaries

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\(A_{n-1}\) Gaudin model with open boundaries

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Solutions of the Gaudin equation and Gaudin algebras

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On the Bethe ansatz for the Jaynes–Cummings–Gaudin model

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

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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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Ground-state energies of the open and closed \(p + ip\)-pairing models from the Bethe Ansatz

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

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Eigenvalue-based determinants for scalar products and form factors in Richardson–Gaudin integrable models coupled to a bosonic mode

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Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model

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Integrable modifications of Dicke and Jaynes–Cummings models, Bose–Hubbard dimers and classical<i>r</i>-matrices

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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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Nuclear Physics B

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NUCLPHYSB.2019.02.018

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Sitelinks

Mathematics(1 entry)

mardi Publication:2421482

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