Covariant Phase Observables in Quantum Mechanics

The aim of this thesis is to present a solution to the quantum phase problem of the single-mode optical field. The solution is based on the use of phase shift covariant normalized positive operator measures. These measures describe realistic direct coherent state phase measurements such as the phase measurement schemes based on eight-port homodyne detection or heterodyne detection. The structure of covariant operator measures and, more generally, covariant sesquilinear form measures is analyzed in this work. Four different characterizations for phase shift covariant normalized positive operator measures are presented. The canonical covariant operator measure is definded and its properties are studied. Finally, some other suggested phase theories are introduced to investigate their connections to the covariant sesquilinear form measures.

Healthy, wealthy, wise, and happy? An exploratory analysis of the interplay between aging and subjective well-being in low and middle income countries

In this paper, we address the relationship between age and several dimension of subjective well-being. Whilst literature generally finds a U-shaped age-profile in subjective well-being, this age-pattern might only hold after controlling for objective life circumstances. The observed U-shaped age-profile might further not generalize to other dimensions of well-being and might vary across countries and cultures. Our study examines the relationship between age and several dimensions of well-being as well as the effect of objective life circumstances using the WHO Study on Global AGEing and Adult Health (SAGE). Our results suggest a decreasing age profile in the raw data associated with evaluative well-being, while experienced well-being shows a rather flat or slightly increasing pattern. However, age per se is not a cause of a decline in evaluative well-being. The negative age-profile in evaluative well-being is mainly explained by changes in life circumstances associated with aging. Controlling for socio-demographic factors, we find higher levels of well-being for older persons relative to their middle-aged counterparts. In contrast, we find that changes in life circumstances have a much smaller effect on experienced well-being.

Measuring spiritual well-being in older rehabilitation patients using the facit-sp

Objectives: To determine psychometric properties of the Functional Assessment of Chronic Illness Therapy-Spiritual well-being (FACIT-Sp) in a cohort of older patients admitted to rehabilitation. Method: Patients aged 65+, with MMSE score>19, admitted consecutively over 6 months in post-acute rehabilitation were enrolled (N=144, 81.27.2 years, 68.8% women). Data on medical, functional, and mental status were systematically collected upon admission. Spiritual well-being was assessed within 3 days after admission using the FACIT-Sp (12 items, score from 0 to 48, high spiritual well-being defined as a score ≥36) and the single question "Are you at peace?" (score from 0 to 10 on a visual analog scale). Results: FACIT-Sp scores ranged from 7 to 44(mean=29.87.7). Overall, 24.3% of the patients had high spiritual well-being. Internal consistency was optimal for total score (Cronbach's alpha =0.85). Itemto- total correlations were all significant, ranging from 0.28 to 0.73. A confirmatory factorial analysis yielded a 2-factor solution, consistent with Meaning and Faith proposed subscales and accounting for 52% of the variance . FACIT-Sp total score correlated positively with the question «Are you at peace ?» (Spearman's rho 0.49, P<.001) and negatively with depressive symptoms (Spearman's rho -0.37, P<.001), confirming FACIT-Sp validity. Compared to the others, patients with higher spiritual well-being had significantly better function at admission (Barthel's score 74.817.1 vs 68.514.1, P=.014). Conclusions: The FACIT-Sp remains a reliable and valid measure to assess spiritual well-being in older patients undergoing rehabilitation. The relatively low proportion of patients with high spiritual well-being deserves further investigation.

Iowa Community Private Well Study, 2004

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.

Illusory correlation in the remuneration of chief executive officers: It pays to play golf, and well

Illusory correlation refers to the use of information in decisions that is uncorrelated with the relevantcriterion. We document illusory correlation in CEO compensation decisions by demonstrating thatinformation, that is uncorrelated with corporate performance, is related to CEO compensation. We usepublicly available data from the USA for the years 1998, 2000, 2002, and 2004 to examine the relationsbetween golf handicaps of CEOs and corporate performance, on the one hand, and CEO compensationand golf handicaps, on the other hand. Although we find no relation between handicap and corporateperformance, we do find a relation between handicap and CEO compensation. In short, golfers earnmore than non-golfers and pay increases with golfing ability. We relate these findings to the difficultiesof judging compensation for CEOs. To overcome this and possibly other illusory correlations inthese kinds of decisions, we recommend the use of explicit, mechanical decision rules.

Asymptotic behaviour of the density in a parabolic SPDE

Consider the density of the solution $X(t,x)$ of a stochastic heat equation with small noise at a fixed $t\in [0,T]$, $x \in [0,1]$.In the paper we study the asymptotics of this density as the noise is vanishing. A kind of Taylor expansion in powers of the noiseparameter is obtained. The coefficients and the residue of the expansion are explicitly calculated.In order to obtain this result some type of exponential estimates of tail probabilities of the difference between the approximatingprocess and the limit one is proved. Also a suitable local integration by parts formula is developped.

Take-the-best and other simple strategies: Why and when they work 'well' in binary choice

The effectiveness of decision rules depends on characteristics of bothrules and environments. A theoretical analysis of environments specifiesthe relative predictive accuracies of the lexicographic rule 'take-the-best'(TTB) and other simple strategies for binary choice. We identify threefactors: how the environment weights variables; characteristics of choicesets; and error. For cases involving from three to five binary cues, TTBis effective across many environments. However, hybrids of equal weights(EW) and TTB models are more effective as environments become morecompensatory. In the presence of error, TTB and similar models do not predictmuch better than a naïve model that exploits dominance. We emphasizepsychological implications and the need for more complete theories of theenvironment that include the role of error.

How well do individuals predict the selling prices of their homes?

Self-reported home values are widely used as a measure of housing wealth by researchers employing a variety of data sets and studying a number of different individual and household level decisions. The accuracy of this measure is an open empirical question, and requires some type of market assessment of the values reported. In this research, we study the predictive power of self-reported housing wealth when estimating sales prices utilizing the Health and Retirement Study. We find that homeowners, on average, overestimate the value of their properties by between 5% and 10%. More importantly, we are the first to document a strong correlation between accuracy and the economic conditions at the time of the purchase of the property (measured by the prevalent interest rate, the growth of household income, and the growth of median housing prices). While most individuals overestimate the value of their properties, those who bought during more difficult economic times tend to be more accurate, and in some cases even underestimate the value of their house. These results establish a surprisingly strong, likely permanent, and in many cases long-lived, effect of the initial conditions surrounding the purchases of properties, on how individuals value them. This cyclicality of the overestimation of house prices can provide some explanations for the difficulties currently faced by many homeowners, who were expecting large appreciations in home value to rescue them in case of increases in interest rates which could jeopardize their ability to live up to their financial commitments.

Microscopic and macroscopic polarization within a combined quantum mechanics and molecular mechanics model

A polarizable quantum mechanics and molecular mechanics model has been extended to account for the difference between the macroscopic electric field and the actual electric field felt by the solute molecule. This enables the calculation of effective microscopic properties which can be related to macroscopic susceptibilities directly comparable with experimental results. By seperating the discrete local field into two distinct contribution we define two different microscopic properties, the so-called solute and effective properties. The solute properties account for the pure solvent effects, i.e., effects even when the macroscopic electric field is zero, and the effective properties account for both the pure solvent effects and the effect from the induced dipoles in the solvent due to the macroscopic electric field. We present results for the linear and nonlinear polarizabilities of water and acetonitrile both in the gas phase and in the liquid phase. For all the properties we find that the pure solvent effect increases the properties whereas the induced electric field decreases the properties. Furthermore, we present results for the refractive index, third-harmonic generation (THG), and electric field induced second-harmonic generation (EFISH) for liquid water and acetonitrile. We find in general good agreement between the calculated and experimental results for the refractive index and the THG susceptibility. For the EFISH susceptibility, however, the difference between experiment and theory is larger since the orientational effect arising from the static electric field is not accurately described