Localization in splitting of matter waves

In this paper we present an analysis of how matter waves, guided as propagating modes in potential structures, are split under adiabatic conditions. The description is formulated in terms of localized states obtained through a unitary transformation acting on the mode functions. The mathematical framework results in coupled propagation equations that are decoupled in the asymptotic regions as well before as after the split. The resulting states have the advantage of describing propagation in situations, for instance matter-wave interferometers, where local perturbations make the transverse modes of the guiding potential unsuitable as a basis. The different regimes of validity of adiabatic propagation schemes based on localized versus delocalized basis states are also outlined. Nontrivial dynamics for superposition states propagating through split potential structures is investigated through numerical simulations. For superposition states the influence of longitudinal wave-packet extension on the localization is investigated and shown to be accurately described in quantitative terms using the adiabatic formulations presented here.

Sagnac rotational phase shifts in a mesoscopic electron interferometer with spin-orbit interactions

The Sagnac effect is an important phase coherent effect in optical and atom interferometers where rotations of the interferometer with respect to an inertial reference frame result in a shift in the interference pattern proportional to the rotation rate. Here, we analyze the Sagnac effect in a mesoscopic semiconductor electron interferometer. We include in our analysis the Rashba spin-orbit interactions in the ring. Our results indicate that spin-orbit interactions increase the rotation-induced phase shift. We discuss the potential experimental observability of the Sagnac phase shift in such mesoscopic systems.

Konsensus och personifierade konflikter : problembeskrivningar av äldreomsorg i svensk dagspress

Consensus and personified conflicts: representations of elderly care issues in Swedish newspapers Elderly care issues are commonly framed in public discourse. In mass media the representations of such issues are influenced by media logic. The purpose of this paper is to describe and analyse how elderly care issues were represented in three Swedish newspapers during the first half of 2007. How were the problems characterized? How were different actors characterized and which roles were they assigned? How are conflicts of interests described? Finally, we aim to discuss how media contribute to an understanding of the complexity of elderly care as a whole. Taken together, the articles do not provide a coherent picture. However, costs, quality of care and demographic issues were common themes. The elderly were commonly represented in personal narratives about problems that occurred when they needed elderly care. The elderly in the future are projected as more active and demanding than the elderly today. The care workers were active voices in discussions about working conditions, but absent in discussions about their education and professional identity, which was an issue commonly advocated by politicians. Many issues were represented as conflicts between the individual elderly and the care system or between care workers and their employers. More elaborated discussions about how to prioritize between different needs and demands were rare. This can be seen as examples of how the media tends to use personification, simplification and polarization as means to tell interesting stories.

An analysis of linkage between foreign direct investment and GDP per Capita in Pakistan : A time series analysis

This study aims to investigate the relation between foreign direct investment (FDI) and per capita gross domestic product (GDP) in Pakistan. The study is based on a basic Cobb-Douglas production function. Population over age 15 to 64 is used as a proxy for labor in the investigation. The other variables used are gross capital formation, technological gap and a dummy variable measuring among other things political stability. We find positive correlation between GDP per capita in Pakistan and two variables, FDI and population over age 15 to 64. The GDP gap (gap between GDP of USA and GDP of Pakistan) is negatively correlated with GDP per capita as expected. Political instability, economic crisis, wars and polarization in the society have no significant impact on GDP per capita in the long run.