Algebraic Bethe Ansatz for XYZ Gaudin model
arXiv:q-alg/9601028 · doi:10.1016/0375-9601(96)00448-3
Abstract
The eigenvectors of the Hamiltionians of the XYZ Gaudin model are constructed by means of the algebraic Bethe Ansatz. The construction is based on the quasi-classical limit of the corresponding results for the inhomogeneous higher spin eight vertex model.
11 pages, Latex file; minor corrections
References in corpus (2)
Cited by in corpus (37)
- Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
- Defects and Quantum Seiberg-Witten Geometry
- Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
- Exact solution of the XXZ Gaudin model with generic open boundaries
- On the second reference state and complete eigenstates of the open XXZ chain
- Integrable models for confined fermions: applications to metallic grains
- Painleve VI, Rigid Tops and Reflection Equation
- Gaudin model with open boundaries
- Elliptic Schlesinger system and Painlev{é} VI
- Integrable spin-1/2 Richardson-Gaudin XYZ models in an arbitrary magnetic field
- elliptic Gaudin model with open boundaries
- Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
- 1+1 Gaudin Model
- Elliptic Gaudin models and elliptic KZ Equations
- Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models
- Exact solution of the XXX Gaudin model with the generic open boundaries
- Multiple reference states and complete spectrum of the Belavin model with open boundaries
- Knizhnik-Zamolodchikov-Bernard equations connected with the eight-vertex model
- Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary
- Trigonometric sl(2) Gaudin model with boundary terms
- Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
- Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model
- Supersymmetric t-J Gaudin Models and KZ Equations
- Backlund transformations for the elliptic Gaudin model and a Clebsch system
- Quantum integrable multi atom matter-radiation models with and without rotating wave approximation
- Algebraic Bethe Ansatz for deformed Gaudin model
- From su(2) Gaudin Models to Integrable Tops
- The Elliptic Gaudin Model: a Numerical Study
- Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
- An integrable discretization of the rational su(2) Gaudin model and related systems
- Solitons on Noncommutative Torus as Elliptic Calogero Gaudin Models, Branes and Laughlin Wave Functions
- New Formula for the Eigenvectors of the Gaudin Model in the sl(3) Case
- "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
- off-shell Bethe ansatz equation with boundary terms
- Stieltjes-Bethe equations in higher genus and branched coverings with even ramifications
- Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries
- On non-stationary Lamé equation from WZW model and spin-1/2 XYZ chain