Public Interest Immunity: Al Megrahi v HM Advocate

The Lockerbie case has already contributed significantly to the jurisprudence of the law of evidence. Al Megrahi v HM Advocate continues in that vein, shedding some light on how the law relating to public interest immunity now operates following devolution

Fermi-Dirac statistics and the number theory

We relate the Fermi-Dirac statistics of an ideal Fermi gas in a harmonic trap to partitions of given integers into distinct parts, studied in number theory. Using methods of quantum statistical physics we derive analytic expressions for cumulants of the probability distribution of the number of different partitions.Comment: 7pages, 2 figures, epl.cls, revised versio

An attempt to observe economy globalization: the cross correlation distance evolution of the top 19 GDP's

Economy correlations between the 19 richest countries are investigated through their Gross Domestic Product increments. A distance is defined between increment correlation matrix elements and their evolution studied as a function of time and time window size. Unidirectional and Bidirectional Minimal Length Paths are generated and analyzed for different time windows. A sort of critical correlation time window is found indicating a transition for best observations. The mean length path decreases with time, indicating stronger correlations. A new method for estimating a realistic minimal time window to observe correlations and deduce macroeconomy conclusions from such features is thus suggested.Comment: to be published in the Dyses05 proceedings, in Int. J. Mod Phys C 15 pages, 5 figures, 1 tabl

Evanescence in Coined Quantum Walks

In this paper we complete the analysis begun by two of the authors in a previous work on the discrete quantum walk on the line [J. Phys. A 36:8775-8795 (2003) quant-ph/0303105 ]. We obtain uniformly convergent asymptotics for the "exponential decay'' regions at the leading edges of the main peaks in the Schr{\"o}dinger (or wave-mechanics) picture. This calculation required us to generalise the method of stationary phase and we describe this extension in some detail, including self-contained proofs of all the technical lemmas required. We also rigorously establish the exact Feynman equivalence between the path-integral and wave-mechanics representations for this system using some techniques from the theory of special functions. Taken together with the previous work, we can now prove every theorem by both routes.Comment: 32 pages AMS LaTeX, 5 figures in .eps format. Rewritten in response to referee comments, including some additional references. v3: typos fixed in equations (131), (133) and (134). v5: published versio

Casimir force between designed materials: what is possible and what not

We establish strict upper limits for the Casimir interaction between multilayered structures of arbitrary dielectric or diamagnetic materials. We discuss the appearance of different power laws due to frequency-dependent material constants. Simple analytical expressions are in good agreement with numerical calculations based on Lifshitz theory. We discuss the improvements required for current (meta) materials to achieve a repulsive Casimir force.Comment: 9 pages, 4 figures, graphicx, v4: Europhysics Letters, in pres

A zeta function approach to the relation between the numbers of symmetry planes and axes of a polytope

A derivation of the Ces\`aro-Fedorov relation from the Selberg trace formula on an orbifolded 2-sphere is elaborated and extended to higher dimensions using the known heat-kernel coefficients for manifolds with piecewise-linear boundaries. Several results are obtained that relate the coefficients, $b_i$, in the Shephard-Todd polynomial to the geometry of the fundamental domain. For the 3-sphere we show that $b_4$ is given by the ratio of the volume of the fundamental tetrahedron to its Schl\"afli reciprocal.Comment: Plain TeX, 26 pages (eqn. (86) corrected

Distinguishing cancerous from non-cancerous cells through analysis of electrical noise

Since 1984, electric cell-substrate impedance sensing (ECIS) has been used to monitor cell behavior in tissue culture and has proven sensitive to cell morphological changes and cell motility. We have taken ECIS measurements on several cultures of non-cancerous (HOSE) and cancerous (SKOV) human ovarian surface epithelial cells. By analyzing the noise in real and imaginary electrical impedance, we demonstrate that it is possible to distinguish the two cell types purely from signatures of their electrical noise. Our measures include power-spectral exponents, Hurst and detrended fluctuation analysis, and estimates of correlation time; principal-component analysis combines all the measures. The noise from both cancerous and non-cancerous cultures shows correlations on many time scales, but these correlations are stronger for the non-cancerous cells.Comment: 8 pages, 4 figures; submitted to PR

Development and Validation of the Trust in My Doctor, Trust in Doctors in General, and Trust in the Health Care Team Scales

RATIONALE: Historic and present-day racism and inequity in the United States (U.S.) have resulted in diminished trust in health care among many populations. A key barrier to improving trust in health care is a dearth of well-validated measures appropriate for diverse populations. Indeed, systematic reviews indicate a need to develop and test updated trust measures that are multidimensional and inclusive of relevant domains (e.g., fairness). OBJECTIVE: We developed three trust measures: the Trust in My Doctor (T-MD), Trust in Doctors in General (T-DiG), and Trust in the Health Care Team (T-HCT) scales. METHODS: After developing an initial item pool, expert reviewers (n = 6) provided feedback on the face validity of each scale. We conducted cognitive interviews (n = 21) with a convenience sample of adults to ensure items were interpreted as intended. In 2020, we administered an online survey to a convenience sample of U.S. adults recruited through the Qualtrics Panel (n = 801) to assess scale reliability and validity. RESULTS: Exploratory and confirmatory factor analyses indicated acceptable model fit for second order latent factor models for each scale (root mean square error of approximation: <0.07, comparative fit index: ≥0.98, and standardized root mean square residual: ≤0.03). The T-MD contained 25 items and six subscales: communication competency, fidelity, systems trust, confidentiality, fairness, and global trust. The T-DiG and T-HCT each contained 29 items and seven subscales (the same subscales in the T-MD plus an additional subscale related to stigma-based discrimination). Each scale was strongly correlated with existing trust measures and perceived racism in health care and was significantly associated with delayed health care seeking and receipt of a routine health exam. CONCLUSIONS: The multidimensional T-MD, T-DiG, and T-HCT scales have sound psychometric properties and may be useful for researchers evaluating trust-related interventions or conducting studies where trust is an important construct or main outcome