Eine interdisziplinäre ärztliche ­Zusammenarbeit sowie klare Algorithmen sind wichtig, um die klinisch relevanten Schilddrüsenknoten zu erkennen und eine optimale gezielte Therapie empfehlen können.

The ground and excited states of a one-dimensional (1D) spin-1/2 Fermi gas (SFG) with both attractive zero-range odd-wave interactions and repulsive zero-range even-wave interactions are mapped exactly to a 1D Lieb-Liniger-Heisenberg (LLH) model with delta-function repulsions depending on isotropic Heisenberg spin-spin interactions, such that the complete SFG and LLH energy spectra are identica...

The one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, we outline the coordinate and the algebraic Bethe ansatz, giving reference to literature suitable for learning these techniques. Finally, we speculate which of the methods mi...

A supersymmetric U q [osp(2|2)]-extended Hubbard model with boundary fields Abstract A strongly correlated electron system associated with the quantum superalgebra U q [osp(2|2)] is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of boundary-reflection K-matrices leading to four kinds of possible boundary interaction term...

Abstract We discuss possible parallel textures of the Yukawa coupling matrices in the general two-Higgsdoublet model (2HDM). In those textures the flavor changing neutral currents are naturally suppressed. Motivated by a phenomenologically successful texture with four texture zeros in the standard model, we propose a predictive ansatz for the Yukawa coupling matrices with the same texture in th...

We show that regular Bethe ansatz eigenvectors of the XXZ spin chain at roots of unity are highest weight vectors and generate irreducible representations of the sl2 loop algebra. We show it in some sectors with respect to eigenvalues of the total spin operator SZ . Here the parameter q, which is related to the XXZ anisotropy ∆ through ∆ = (q + q−1)/2, is given by a root of unity, q2N = 1, for ...

The purpose of this letter is to observe resonance in an open quantum system with a Coulomb interaction. The system that we study is the two-lead interacting resonant-level model (IRLM), which consists of two leads of non-interacting electrons that interact with an electron on a quantum dot in between the two leads. We obtain N -electron scattering states for arbitrary N , generalizing the Beth...

Quantized nonlinear lattice models are considered for two different classes, boson and fermionic ones. The quantum discrete nonlinear Schrödinger model (DNLS) is our main objective, but its so called modified discrete nonlinear (MDNLS) version is also included, together with the fermionic polaron (FP) model. Based on the respective dynamical symmetries of the models, a method is put forward whi...

The tanh method is a powerful solution method; various extension forms of the tanh method have been developed with a computerized symbolic computation and is used for constructing the exact travelling wave solutions, of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. First a power series in tanh was used as an ansatz t...

Most of the exact solutions of quantum one-dimensional Hamiltonians are obtained thanks to the success of the Bethe ansatz on its several formulations. According to this ansatz the amplitudes of the eigenfunctions of the Hamiltonian are given by a sum of permutations of appropriate plane waves. In this paper, alternatively, we present a matrix product ansatz that asserts that those amplitudes a...