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

DOI10.1016/j.nuclphysb.2012.06.020zbMath1262.81068OpenAlexW1971851188MaRDI QIDQ1949645

T. V. Skrypnik

Publication date: 8 May 2013

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2012.06.020

zbMATH Keywords

integrable systemsGaudin-type modelsnon-skew-symmetric classical r-matrices

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (6)

Band-like structures and quartets in deformed \(N = Z\) nuclei ⋮ ``Generalized algebraic Bethe ansatz, Gaudin-type models and \(Z_{p}\)-graded classical \(r\)-matrices ⋮ Gaudin-type models, non-skew-symmetric classical \(r\)-matrices and nested Bethe ansatz ⋮ Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate \(j\)-orbits ⋮ Z₂-graded classicalr-matrices and algebraic Bethe ansatz: applications to integrable models of quantum optics and nuclear physics ⋮ ‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models

Cites Work

• Unnamed Item
• Unnamed Item
• Rational r-matrices, higher rank Lie algebras and integrable proton-neutron BCS models
• Integrability and exact solution for coupled BCS systems associated with the \(\mathrm{su}(4)\) Lie algebra
• Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems
• On representations of the groups Sp(n,1) and Sp(n)
• ``\(Z_2\)-graded Gaudin models and analytical Bethe ansatz
• Lie algebras with triangular decompositions, non-skew-symmetric classical \(r\)-matrices and Gaudin-type integrable systems
• Generalized shift elements and classical \(r\)-matrices: construction and applications
• The quantum Gaudin system
• Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems
• Non-skew-symmetric classicalr-matrices and integrable cases of the reduced BCS model
• Generalized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical r-matrices
• Generalized Gaudin systems in a magnetic field and non-skew-symmetricr-matrices
• Integrable models for confined fermions: applications to metallic grains
• Chern-Simons theory and BCS superconductivity

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