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Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated.
Keywords: integrability; algebraic Bethe ansatz; Gaudin models; Bethe equations. 
@article{SIGMA_2017_13_a93,
     author = {Nicolas Crampe},
     title = {Algebraic {Bethe} {Ansatz} for the {XXZ} {Gaudin} {Models} with {Generic} {Boundary}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2017},
     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a93/}
}
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Nicolas Crampe. Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a93/

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