Quantization of the AdS3{\rm AdS}_3 Superparticle on OSP(1∣2)2/SL(2,R){\rm OSP}(1|2)^2/{\rm SL}(2,\mathbb{R})

We analyze ${\rm AdS}_3$ superparticle dynamics on the coset ${\rm OSP}(1|2) \times {\rm OSP}(1|2)/{\rm SL}(2,\mathbb{R})$. The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction. The left and right Noether charges of a massive particle are parametrized by coadjoint orbits of a timelike element of $\frak{osp}(1|2)$. Each chiral sector is described by two bosonic and two fermionic canonical coordinates corresponding to a superparticle with superpotential $W=q-m/q$, where $m$ is the particle mass. Canonical quantization then provides a quantum realization of $\frak{osp}(1|2)\oplus\frak{osp}(1|2)$. For the massless particle the chiral charges lie on the coadjoint orbit of a nilpotent element of $\frak{osp}(1|2)$ and each of them depends only on one real fermion, which demonstrates the underlying $\kappa$-symmetry. These remaining left and right fermionic variables form a canonical pair and the system is described by four bosonic and two fermionic canonical coordinates. Due to conformal invariance of the massless particle, the $\frak{osp}(1|2)\oplus\frak{osp} (1|2)$ extends to the corresponding superconformal algebra $\frak{osp}(2|4)$. Its 19 charges are given by all real quadratic combinations of the canonical coordinates, which trivializes their quantization.Comment: 25+1 pages; v2: minor changes, references added and updated; v3: minor changes, one reference added, matches published versio

Asymmetric Properties of Heart Rate Variability to Assess Operator Fatigue

The aim of this study is to evaluate the suitability of heart rate recordings for establishing a reliable connection to well-defined fatigue and performance measures in order to estimate fatigue in industrial and transportation applications. An overnight driving simulation scenario with partial sleep deprivation was utilized to induce strong fatigue. An experiment trial was divided into repeated sessions, each of which consisted of a driving performance and two vigilance tasks. Heart rate (HR) was recorded over the entire experiment; HRmeasures were derived and correlated against measures that were established from driving and vigilance task performance and that represent various aspects of operator fatigue. In a previous report (Hefner et al. 2009) we presented on the basis of the data of one volunteer that multiple fatigue measures correlate well with different expressions of heart rate variability (HRV), especially with longterm HRV derived from Poincaré plots. In this work, we intensify the Poincaré analysis by dividing the distribution of HR data in different accelerating and decelerating segments and by establishing properties of asymmetry between these segments. We also show that most of the properties of long-term HRV correlate well with specific fatigue measures for a group of 5 volunteers despite their large inter-individual differences in HR-to-fatigue correlations

Development and Preliminary Validation of the Scale for Evaluation of Psychiatric Integrative and Continuous Care—Patient’s Version

This pilot study aimed to evaluate and examine an instrument that integrates relevant aspects of cross-sectoral (in- and outpatients) mental health care, is simply to use and shows satisfactory psychometric properties. The development of the scale comprised literature research, held 14 focus groups and 12 interviews with patients and health care providers, item-pool generation, content validation by a scientific expert panel, and face validation by 90 patients. The preliminary scale was tested on 385 patients across seven German hospitals with cross-sectoral mental health care (CSMHC) as part of their treatment program. Psychometric properties of the scale were evaluated using genuine and transformed data scoring. To check reliability and postdictive validity of the scale, Cronbach’s α coefficient and multivariable linear regression were used. This development process led to the development of an 18-item scale called the “Scale for Evaluation of Psychiatric Integrative and Continuous Care (SEPICC)” with a two-point and five-point response options. The scale consists of two sections. The first section assesses the presence or absence of patients’ experiences with various CSMHC’ relevant components such as home treatment, flexibility of treatments’ switching, case management, continuity of care, cross-sectoral therapeutic groups, and multidisciplinary teams. The second section evaluates the patients’ opinions about these relevant components. Using raw and transformed scoring resulted into comparable results. However, data distribution using transformed scoring showed a smaller deviation from normality. For the overall scale, the Cronbach’s α coefficient was 0.82. Self-reported experiences with relevant components of the CSMHC were positively associated with the patients approval of these components. In conclusion, the new scale provides a good starting point for further validation. It can be used as a tool to evaluate CSMHC. Methodologically, using transformed data scoring appeared to be preferable because of a smaller deviation from normality and a higher reliability measured by Cronbach’s α

A Robustness Analysis of a Preliminary Design of a CESTOL Aircraft

Als Teil des Sonderforschungsbereichs 880 werden Aktivitäten im Flugzeugvorentwurf für eine neue Klasse von lärmarmen leistungsfähigen Transportflugzeugen mit den Fähigkeiten von Kurzstart und -landung (CESTOL) durchgeführt. Ein entsprechendes Flugzeug stellt sich wegen des Einsatzes aktiver Hochauftriebssysteme völlig anders dar als ein Verkehrsflugzeug auf dem Stand aktueller Technik. Der Umstand, dass neue Technologien noch nicht genügend verstanden werden, in Kombination mit der Annahme üblicher Entwurfsdaten und der Verwendung klassischer Berechnungsmethoden, äussert sich in Unsicherheiten epistemischen Charakters. Die Robustheit eines deterministischen CESTOL Flugzeugentwurfs gegenüber Parametern wie dem notwendigen Schub, den direkten Betriebskosten oder den Start- und Landebahnlängen wird hier im Hinblick auf die genannten Unsicherheiten untersucht. Zu diesem Zweck wird eine stochastische Beschreibung von Entwurfsparametervariationen formuliert. Stochastische Größen zur Beurteilung der Robustheit werden über eine Monte-Carlo-Simulation bestimmt. Eine verteilte komponentenbasierte Software-Implementierung wird zur Durchführung der Monte-Carlo-Simulation herangezogen. Das Softwaresystem ist auf einem Linux-Cluster mit mehreren Multi-CPU-Rechnern installiert; eine deterministische Stichprobe wird durch das Entwurfsprogramm PrADO simuliert.As part of the Collaborative Research Center 880 preliminary aircraft design activities are carried out for a new class of low-noise cruise-efficient transport aircrafts with short take-off and landing capabilities (CESTOL). A corresponding aircraft is quite different from a state-of-the-art commercial aircraft because of the use of active high-lift devices. The fact that new technologies are not sufficiently understood yet in combination with the assumption of common design data and the use of classical calculation methods expresses itself in uncertainties which are of epistemic character. The robustness of a deterministic CESTOL aircraft design towards parameters such as the necessary engine thrust, direct operating costs, or the runway lengths is investigated here concerning the mentioned uncertainties. For this purpose a stochastic description of parameter variations of the design is formulated. Stochastic quantities are computed by Monte Carlo (MC) sampling to rate the robustness. A distributed component-based software implementation is used to perform the MC sampling. The software system is installed on a Linux cluster with several multi-CPU computers; a deterministic sample is simulated through the design program PrADO