scholarly journals Algebraic Bethe ansatz for thesℓ(2)Gaudin model with boundary

2015 ◽  
Vol 893 ◽  
pp. 305-331 ◽  
Author(s):  
N. Cirilo António ◽  
N. Manojlović ◽  
E. Ragoucy ◽  
I. Salom
Keyword(s):  
Bethe Ansatz ◽  
Gaudin Model ◽  
Algebraic Bethe Ansatz

scholarly journals Algebraic Bethe ansatz for deformed Gaudin model

2011 ◽  
Vol 52 (10) ◽  
pp. 103501
Author(s):  
N. Cirilo António ◽  
N. Manojlović ◽  
A. Stolin
Keyword(s):  
Bethe Ansatz ◽  
Gaudin Model ◽  
Algebraic Bethe Ansatz

scholarly journals Algebraic Bethe Ansatz for the Trigonometric sℓ(2) Gaudin Model with Triangular Boundary

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 352
Author(s):  
Nenad Manojlović ◽  
Igor Salom
Keyword(s):  
Bethe Ansatz ◽  
Generating Function ◽  
Periodic Case ◽  
Gaudin Model ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain ◽  
Algebraic Bethe Ansatz ◽  
Boundary Terms ◽  
Reflection Matrix ◽  
Bethe Equations

In this paper we deal with the trigonometric Gaudin model, generalized using a nontrivial triangular reflection matrix (corresponding to non-periodic boundary conditions in the case of anisotropic XXZ Heisenberg spin-chain). In order to obtain the generating function of the Gaudin Hamiltonians with boundary terms we follow an approach based on Sklyanin’s derivation in the periodic case. Once we have the generating function, we obtain the corresponding Gaudin Hamiltonians with boundary terms by taking its residues at the poles. As the main result, we find the generic form of the Bethe vectors such that the off-shell action of the generating function becomes exceedingly compact and simple. In this way—by obtaining Bethe equations and the spectrum of the generating function—we fully implement the algebraic Bethe ansatz for the generalized trigonometric Gaudin model.

scholarly journals Algebraic bethe ansatz for the XYZ Gaudin model

1996 ◽  
Vol 219 (3-4) ◽  
pp. 217-225 ◽  
Author(s):  
Evgueni K. Sklyanin ◽  
Takashi Takebe
Keyword(s):  
Bethe Ansatz ◽  
Gaudin Model ◽  
Algebraic Bethe Ansatz

scholarly journals Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model

2014 ◽  
Vol 889 ◽  
pp. 87-108 ◽  
Author(s):  
N. Cirilo António ◽  
N. Manojlović ◽  
I. Salom
Keyword(s):  
Bethe Ansatz ◽  
Gaudin Model ◽  
Algebraic Bethe Ansatz
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