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Functional relations and Bethe Ansatz for the open XXZ chain
Functional relations Bethe Ansatz XXZ chain
2015/3/19
Functional relations and Bethe Ansatz for the open XXZ chain.
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(bgl3) is given.This result is obtained in the f...
Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems
Bethe Ansatz Solvable Particle Systems
2010/11/18
This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche...
Completeness of the Bethe ansatz on Weyl alcoves
Bethe ansatz root systems spectral analysis reflection groups
2010/12/10
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...
Functional Bethe ansatz methods for the open XXX chain
Functional Bethe ansatz methods open XXX chain
2010/12/15
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional eq...
We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results...
Algebraic Bethe Ansatz for deformed Gaudin model
Algebraic Bethe Ansatz deformed Gaudin model
2010/4/2
The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining the Bethe states of t...
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
space wave function Algebraic Bethe Ansatz inhomogeneous six-vertex model
2010/4/1
We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and...