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

DOI10.1016/j.nuclphysb.2019.02.018zbMath1415.82003OpenAlexW2916072209MaRDI QIDQ2421482

T. V. Skrypnik

Publication date: 17 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2019.02.018

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) (S)-matrix theory, etc. in quantum theory (81U20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Electro- and magnetostatics (78A30) Statistical thermodynamics (82B30) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (8)

On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebras ⋮ Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz ⋮ Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz ⋮ Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models ⋮ Separation of variables, quasi-trigonometric \(r\)-matrices and generalized Gaudin models ⋮ Anisotropic BCS-Richardson model and algebraic Bethe ansatz ⋮ The generalized Lipkin-Meshkov-Glick model and the modified algebraic Bethe ansatz ⋮ ‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models

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