Zn Belavin model with open boundary condition is studied. The double-row transfer matrices of the model are diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the face-vertex correspondence relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained. PACS: 03.65.Fd; 75.10.Jm; 05.30.-d

The cross section asymmetry Σ in deuteron disintegration with linearly polarized light is considered in the framework of the Bethe-Salpeter formalism. Relativistic contributions to the asymmetry are investigated within the approximation, which takes into account the one-body part of the electromagnetic current operator and the dominant positive-energy partial amplitudes of the Bethe-Salpeter ve...

We consider the sl(N ) twisted Yangian quantum spin chain. In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in the thermodynamic limit. Local defects are also implemented in the model and the associated transmission amplitudes are derived through the relevant Bethe ansatz equations.

The A (1) n−1 trigonometric vertex model with generic non-diagonal boundaries is studied. The double-row transfer matrix of the model is diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the corresponding face-vertex relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained. PACS: 03.65.Fd; 05.30.-d; 05.50+q

Form factors are derived for a model describing the coherent Joseph-son tunneling between two coupled Bose-Einstein condensates. This is achieved by studying the exact solution of the model in the framework of the algebraic Bethe ansatz. In this approach the form factors are expressed through determinant representations which are functions of the roots of the Bethe ansatz equations.

We investigate a solvable SU(3)-XXZ-model modiied by elements of the Cartan-subalgebra. The nested Bethe-Ansatz is discussed in detail and the corresponding quantum spin model is stated. The coupled Bethe-equations are solved in the ther-modynamic limit. EEects of the modiication on the nite size scaling are derived.

It is shown that the Gaudin Hamiltonians H1, . . . , Hn generate the Bethe algebra of the n-fold tensor power of the vector representation of glN . Surprisingly, the formula for the generators of the Bethe algebra in terms of the Gaudin Hamiltonians does not depend on N . Moreover, this formula coincides with Wilson’s formula for the stationary Baker–Akhiezer function on the adelic Grassmannian. §

The XY Z spin chain is considered in the framework of the generalized algebraic Bethe ansatz developed by Takhtajan and Faddeev. The sum of norms of the Bethe vectors is computed and expressed in the form of a Jacobian. This result corresponds to the Gaudin hypothesis for the XY Z spin chain.

We show the light-front representation of the field theoretical Bethe-Salpeter equation (BSE) in the ladder approximation using the quasi potential reduction. We discuss the equivalence of the covariant ladder Bethe-Salpeter equation with an infinite set of coupled equations for the Green’s functions of the different light-front Fock-states.

The XY Z spin chain is considered in the framework of the generalized algebraic Bethe ansatz developed by Takhtajan and Faddeev. The sum of norms of the Bethe vectors is computed and expressed in the form of a Jacobian. This result corresponds to the Gaudin hypothesis for the XY Z spin chain.