Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems
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Publication:3066496
DOI10.1063/1.3072912zbMath1202.17016OpenAlexW2070092408MaRDI QIDQ3066496
Publication date: 11 January 2011
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3072912
Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)
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Cites Work
- What is a classical r-matrix?
- Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras
- Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems
- Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
- Generalized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical r-matrices
- Quantum integrable systems, non-skew-symmetric r-matrices and algebraic Bethe ansatz
- Generalized Gaudin systems in a magnetic field and non-skew-symmetricr-matrices
- Integrable models for confined fermions: applications to metallic grains
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