Trions in a periodic potential

The group-theoretical classification of trion states is presented. It is based on considerations of products of irreducible representations of the 2D translation group. For a given BvK period N degeneracy of obtained states is N^2. Trions consist of two identical particles so the symmetrization of states with respect to particles transposition is considered. Completely antisymmetric states can be constructed by introducing antisymmetric spin functions. Two symmetry adapted bases are considered. The third possibility is postponed for the further investigations.Comment: revtex, 5 p., sub. to Physica

Pairs of Bloch electrons and magnetic translation groups

A product of irreducible representations of magnetic translation group is considered. It leads to irreducible representations which were previously rejected as nonphysical. A very simple example indicates a possible application of these representations. In particular, they are important in descriptions of pairs of electrons in a magnetic field and a periodic potential. The periodicity of some properties with respect to the charge of a particle is briefly discussed.Comment: 4 pages, RevTex. Latex2.09, amsfont

Carcass weight, condition and reproduction of wild boars harvested in north-western Poland

Orłowska, L., Rembacz, W., Florek, C

An extension of Fourier analysis for the n-torus in the magnetic field and its application to spectral analysis of the magnetic Laplacian

We solved the Schr{\"o}dinger equation for a particle in a uniform magnetic field in the n-dimensional torus. We obtained a complete set of solutions for a broad class of problems; the torus T^n = R^n / {\Lambda} is defined as a quotient of the Euclidean space R^n by an arbitrary n-dimensional lattice {\Lambda}. The lattice is not necessary either cubic or rectangular. The magnetic field is also arbitrary. However, we restrict ourselves within potential-free problems; the Schr{\"o}dinger operator is assumed to be the Laplace operator defined with the covariant derivative. We defined an algebra that characterizes the symmetry of the Laplacian and named it the magnetic algebra. We proved that the space of functions on which the Laplacian acts is an irreducible representation space of the magnetic algebra. In this sense the magnetic algebra completely characterizes the quantum mechanics in the magnetic torus. We developed a new method for Fourier analysis for the magnetic torus and used it to solve the eigenvalue problem of the Laplacian. All the eigenfunctions are given in explicit forms.Comment: 32 pages, LaTeX, minor corrections are mad

Spin Polaron Effective Magnetic Model for La_{0.5}Ca_{0.5}MnO_3

The conventional paradigm of charge order for La_{1-x}Ca_xMnO_3 for x=0.5 has been challenged recently by a Zener polaron picture emerging from experiments and theoretical calculations. The effective low energy Hamiltonian for the magnetic degrees of freedom has been found to be a cubic Heisenberg model, with ferromagnetic nearest neighbor and frustrating antiferromagnetic next nearest neighbor interactions in the planes, and antiferromagnetic interaction between planes. With linear spin wave theory and diagonalization of small clusters up to 27 sites we find that the behavior of the model interpolates between the A and CE-type magnetic structures when a frustrating intraplanar interaction is tuned. The values of the interactions calculated by ab initio methods indicate a possible non-bipartite picture of polaron ordering differing from the conventional one.Comment: 21 pages and 8 figures (included), Late

Magnetic translation groups as group extension

Extensions of a direct product T of two cyclic groups Z_n1 and Z_n2 by an Abelian (gauge) group G with the trivial action of T on G are considered. All possible (nonequivalent) factor systems are determined using the Mac Lane method. Some of resulting groups describe magnetic translation groups. As examples extensions with G=U(1) and G=Z_n are considered and discussed.Comment: 10 page

Magnetic translation groups in n dimensions

Magnetic translation groups are considered as central extensions of the translation group T=Z^n by the group of factors (a~gauge group) U(1). The obtained general formulae allow to consider a magnetic field as an~antisymmetric tensor (of rank 2) and factor systems are determined by a transvection of this tensor with a tensor product t \otimes t'.Comment: 15 pages, Latex 2.09 Presenetd at Symp. "Quant. Group & Their Appl. in Phys.", Poznan, Oct. 17-20 199

Quality of life, treatment satisfaction, and adherence to treatment in patients with vesicular hand eczema:A cross-sectional study

Background Recurrent vesicular hand eczema frequently has a chronic course and needs long-term treatment. Objectives To evaluate health-related quality of life (HRQoL), treatment satisfaction, and adherence in patients with vesicular hand eczema. Methods Patients using one main treatment for at least three months were included. Data on HRQoL (Quality of Life in Hand Eczema Questionnaire [QOLHEQ]), treatment satisfaction (Treatment Satisfaction Questionnaire for Medication, version II), and treatment adherence (4-item Morisky Medication Adherence Scale) were collected. Univariate and multivariate regression analysis were used to predict variables associated with HRQoL. Results HRQoL was moderately impaired, with the highest impact in the QOLHEQ subdomain symptoms. Female sex, more severe hand eczema, and lower treatment satisfaction were associated with more impairment in HRQoL. Patients with severe/very severe hand eczema had significant lower "global satisfaction" scores compared with the other severity groups. The "global satisfaction" and treatment adherence in patients using systemic treatment were significantly higher compared with those with only topical treatment. Conclusions In patients with vesicular hand eczema disease severity affects both HRQoL and treatment satisfaction. Systemic treatment of severe hand eczema could improve the severity and as a result also HRQoL, treatment satisfaction, and medication adherence