The Zn elliptic Gaudin model with integrable boundaries specified by generic nondiagonal K-matrices with n+ 1 free boundary parameters is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. PACS: 03.65.Fd; 04.20.Jb; 05.30.-d; 75.10.Jm

The An−1 Gaudin model with integerable boundaries specified by non-diagonal Kmatrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. PACS: 03.65.Fd; 04.20.Jb; 05.30.-d; 75.10.Jm

The N-particle partition function of a one-dimensional δ-function bose gas is calculated explicitly using only the periodic boundary condition (the Bethe ansatz equation). The N-particles cluster integrals are shown to be the same as those by the thermal Bethe ansatz method.

We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothe...

in this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (srlw) equation and the (3+1)-dimensional shallow water wave equations. solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions the physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. note t...

We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N = 4 gauge theory. We find...

Das Extract Method Refactoring ist eine gebräuchliche Art, zu lange Methoden im Code zu kürzen. Bevor aber Tool-Support für das Refactoring genutzt werden kann, müssen Entwickler zunächst geeignete Codezeilen identifizieren – ein zeitintensives und fehleranfälliges Unterfangen. Dieses Paper präsentiert einen Ansatz, der automatisch Vorschläge für Extract Method Refactorings generiert. Dazu werd...

We present a finite volume method for the solution of the two-dimensional Poisson equation ∇· (β(x)∇u(x)) = f(x) with variable, discontinuous coefficients and solution discontinuities on irregular domains. The method uses bilinear ansatz functions on Cartesian grids for the solution u(x) resulting in a compact nine-point stencil. The resulting linear problem has been solved with a standard mult...

For the one-dimensional XXX model under the periodic boundary conditions, we discuss two types of eigenvectors, regular eigenvectors which have finite-valued rapidities satisfying the Bethe ansatz equations, and non-regular eigenvectors which are descendants of some regular eigenvectors under the action of the SU(2) spin-lowering operator. It was pointed out by many authors that the non-regular...