Variational Monte Carlo study of core-valence separation schemes for first-row atoms and positive ions /

All-electron partitioning of wave functions into products ^core^vai of core and valence parts in orbital space results in the loss of core-valence antisymmetry, uncorrelation of motion of core and valence electrons, and core-valence overlap. These effects are studied with the variational Monte Carlo method using appropriately designed wave functions for the first-row atoms and positive ions. It is shown that the loss of antisymmetry with respect to interchange of core and valence electrons is a dominant effect which increases rapidly through the row, while the effect of core-valence uncorrelation is generally smaller. Orthogonality of the core and valence parts partially substitutes the exclusion principle and is absolutely necessary for meaningful calculations with partitioned wave functions. Core-valence overlap may lead to nonsensical values of the total energy. It has been found that even relatively crude core-valence partitioned wave functions generally can estimate ionization potentials with better accuracy than that of the traditional, non-partitioned ones, provided that they achieve maximum separation (independence) of core and valence shells accompanied by high internal flexibility of ^core and Wvai- Our best core-valence partitioned wave function of that kind estimates the IP's with an accuracy comparable to the most accurate theoretical determinations in the literature.

Histogram filtering as a tool in variational Monte Carlo optimization

Optimization of wave functions in quantum Monte Carlo is a difficult task because the statistical uncertainty inherent to the technique makes the absolute determination of the global minimum difficult. To optimize these wave functions we generate a large number of possible minima using many independently generated Monte Carlo ensembles and perform a conjugate gradient optimization. Then we construct histograms of the resulting nominally optimal parameter sets and "filter" them to identify which parameter sets "go together" to generate a local minimum. We follow with correlated-sampling verification runs to find the global minimum. We illustrate this technique for variance and variational energy optimization for a variety of wave functions for small systellls. For such optimized wave functions we calculate the variational energy and variance as well as various non-differential properties. The optimizations are either on par with or superior to determinations in the literature. Furthermore, we show that this technique is sufficiently robust that for molecules one may determine the optimal geometry at tIle same time as one optimizes the variational energy.

Variational Monte Carlo estimation of the dissociation energy of CuH using correlated sampling

A new approach to treating large Z systems by quantum Monte Carlo has been developed. It naturally leads to notion of the 'valence energy'. Possibilities of the new approach has been explored by optimizing the wave function for CuH and Cu and computing dissociation energy and dipole moment of CuH using variational Monte Carlo. The dissociation energy obtained is about 40% smaller than the experimental value; the method is comparable with SCF and simple pseudopotential calculations. The dipole moment differs from the best theoretical estimate by about 50% what is again comparable with other methods (Complete Active Space SCF and pseudopotential methods).

The convergence of psychopathy, self-rated vulnerability, and other-rated vulnerability

Previous research has found that victims of crime tend to exhibit asynchronous movement (e.g. Grayson & Stein, 1981), and the fact that victims display different body language suggests that they may be sending inadvertent signals to their own vulnerability (e.g. Murzynski & Degelman, 1996). Body language has also be en linked with s e l f identification as a victim (Wheeler et aI., 2009), and self-identification has be en found to act as a proxy for more severe victimization (Baumer, 2002) and greater fear of crime (Greenberg & Beach, 2004). The first prediction in the present study, then, was that self-perceived vulnerability would be correlated with body language, while number of previous victimizations mayor may not show the same relationship. Findings from the present study indicate that self-perceived vulnerability exhibits a positive correlation with the body language cues that approaches significance r (10) = .45,p =.07, one-tailed. Different types of victimization, however, were not significantly correlated with these cues. A second goal of the study was to examine the relationship between psychopathic traits and accuracy in judgments of vulnerability. Seventy male participants rated the vulnerability of 12 female targets filmed walking down a hallway who had provided selfratings of vulnerability. Individuals scoring higher on Factor 2 and total psychopathy were significantly less discrepant from target self-rat~ngs of vulnerability, r (64) = - .39,p < .001; r (64) = - .29,p >.01, respectively. The final purpose of this study was to determine which body language cues were mos t salient to raters when making judgments of vulnerability. Participants rated the apparent vulnerability of a target in 7 video clips portraying each body language cue in isolation and a natural walk. Results of repeated measures analyses indicate that the videos rated as most vulnerable to victimization were those displaying low energy and l a ck of synchrony, followed by wide stride, short stride, and stiffknees, while the video displaying ne ck stiffness did not receive significantly different ratings from the mode l ' s natural walk. Replication with a larger sample size is necessary to increase confidence in findings and implications.

In Search of Convergence: A Co-citation Analysis of Three Sport Management Journals

Responding to a series of articles in sport management literature calling for more diversity in terms of areas of interest or methods, this study warns against the danger of excessively fragmenting this field of research. The works of Kuhn (1962) and Pfeffer (1993) are taken as the basis of an argument that connects convergence with scientific strength. However, being aware of the large number of counterarguments directed at this line of reasoning, a new model of convergence, which focuses on clusters of research contributions with similar areas of interest, methods, and concepts, is proposed. The existence of these clusters is determined with the help of a bibliometric analysis of publications in three sport management journals. This examination determines that there are justified reasons to be concerned about the level of convergence in the field, pointing out to a reduced ability to create large clusters of contributions in similar areas of interest.