Ab-initio calculation of Kerr spectra for semi-infinite systems including multiple reflections and optical interferences

Based on Luttinger's formulation the complex optical conductivity tensor is calculated within the framework of the spin-polarized relativistic screened Korringa-Kohn-Rostoker method for layered systems by means of a contour integration technique. For polar geometry and normal incidence ab-initio Kerr spectra of multilayer systems are then obtained by including via a 2x2 matrix technique all multiple reflections between layers and optical interferences in the layers. Applications to Co|Pt5 and Pt3|Co|Pt5 on the top of a semi-infinite fcc-Pt(111) bulk substrate show good qualitative agreement with the experimental spectra, but differ from those obtained by applying the commonly used two-media approach.Comment: 32 pages (LaTeX), 5 figures (Encapsulated PostScript), submitted to Phys. Rev.

Building a tuberculosis-free world: The Lancet Commission on tuberculosis

___Key messages___ The Commission recommends five priority investments to achieve a tuberculosis-free world within a generation. These investments are designed to fulfil the mandate of the UN High Level Meeting on tuberculosis. In addition, they answer

Acceleration of convergence of sequences via orthogonal polynomials

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Preliminary Assessment of Choice Making Among Children With Rett Syndrome

Two studies were conducted to assess choice making among seven children with Rett syndrome. Study 1 entailed 20 opportunities to choose between a pair of food, beverage, and leisure items. All children made choices by either looking at or touching one of the items. However, half the opportunities elapsed without a choice having been made. Study 2 was designed to analyze the function of these no responses. Each item was offered individually on 10 separate occasions and the child received the item even if a prior choice had not occurred. Items were generally accepted whether or not a prior choice had been made. This suggests that the lack of a choice may not necessarily indicate lack of preference and that the relationship between selecting and accepting items may vary as a function of task configuration. Nonetheless, both configurations provided useful assessment information

Structured eigenvalue problems for rational Gauss quadrature

The connection between Gauss quadrature rules and the algebraic eigenvalue problem for a Jacobi matrix was first exploited in the now classical paper by Golub and Welsch (Math. Comput. 23(106), 221\u2013230, 1969). From then on many computational problems arising in the construction of (polynomial) Gauss quadrature formulas have been reduced to solving direct and inverse eigenvalue problems for symmetric tridiagonals. Over the last few years (rational) generalizations of the classical Gauss quadrature formulas have been studied, i.e., formulas integrating exactly in spaces of rational functions. This paper wants to illustrate that stable and efficient procedures based on structured numerical linear algebra techniques can also be devised for the solution of the eigenvalue problems arising in the field of rational Gauss quadrature