The spectrum of the Liouville-von Neumann operator in the Hilbert-Schmidt space

The singular continuous spectrum of the Liouville operator of quantum statistical physics is, in general, properly included in the difference of the spectral values of the singular continuous spectrum of the associated Hamiltonian. The absolutely continuous spectrum of the Liouvillian may arise from a purely singular continuous Hamiltonian. We provide the correct formulas for the spectrum of the Liouville operator and show that the decaying states of the singular continuous subspace of the Hamiltonian do not necessarily contribute to the absolutely continuous subspace of the Liouvillian.

History of Child Welfare and Protection Social Work in Northern Ireland: Finding Continuity amongst Discontinuity in Case Files from 1950-1968

This article reports on research carried out on 200 child welfare files from the largest welfare authority in Northern Ireland from 1950-1968. The literature review provides a commentary on some of the major debates surrounding child welfare and protection social work from the perspective of its historical development. The report of the research which follows offers an insight into one core, and less well-known period of child welfare history in Northern Ireland between the two Children and Young Persons Acts (1950 & 1968). Using a method of discourse analysis influenced by Michel Foucault, a detailed description of the nature of practice is offered. This paper is offered as a work in progress, with further work being planned for dissemination of more detailed analysis of the method and outcomes. The research seeks to ask a few core questions based on problems identified in the present with our current understandings of child welfare and protection histories. While recognising the limitations of this study and the need for broader analysis of the wider context surrounding child welfare practice at the moment, it is argued that some salient conclusions can be drawn about continuity and discontinuity in practice which are of interest to practitioners and students of child welfare social work.

Equal Security: Europe and the Strategic Arms Limitation Talks, 1968-1976

SALT threatened to institutionalize a bipolar world order. NWS and NNWS alike feared that the US and SU will prioritize global security principles such as systemic stability and conflict stability to Atlantic and European security. Endangered was Europe’s security and position in the future world order. Parity in strategic weapons invalidated the US nuclear umbrella. An ABM deployment and a non-transfer regime threatened Europe’s nuclear defence options. The danger of a Limited War or a denuclearization of Central Europe led to a European co-ordination on nuclear arms control to assure the preservation of the West and the future of Europe.

New genetic loci link adipose and insulin biology to body fat distribution

Body fat distribution is a heritable trait and a well-established predictor of adverse metabolic outcomes, independent of overall adiposity. To increase our understanding of the genetic basis of body fat distribution and its molecular links to cardiometabolic traits, here we conduct genome-wide association meta-analyses of traits related to waist and hip circumferences in up to 224,459 individuals. We identify 49 loci (33 new) associated with waist-to-hip ratio adjusted for body mass index (BMI), and an additional 19 loci newly associated with related waist and hip circumference measures (P < 5 × 10(-8)). In total, 20 of the 49 waist-to-hip ratio adjusted for BMI loci show significant sexual dimorphism, 19 of which display a stronger effect in women. The identified loci were enriched for genes expressed in adipose tissue and for putative regulatory elements in adipocytes. Pathway analyses implicated adipogenesis, angiogenesis, transcriptional regulation and insulin resistance as processes affecting fat distribution, providing insight into potential pathophysiological mechanisms.

Genetic studies of body mass index yield new insights for obesity biology

Obesity is heritable and predisposes to many diseases. To understand the genetic basis of obesity better, here we conduct a genome-wide association study and Metabochip meta-analysis of body mass index (BMI), a measure commonly used to define obesity and assess adiposity, in up to 339,224 individuals. This analysis identifies 97 BMI-associated loci (P < 5 × 10(-8)), 56 of which are novel. Five loci demonstrate clear evidence of several independent association signals, and many loci have significant effects on other metabolic phenotypes. The 97 loci account for ∼2.7% of BMI variation, and genome-wide estimates suggest that common variation accounts for >20% of BMI variation. Pathway analyses provide strong support for a role of the central nervous system in obesity susceptibility and implicate new genes and pathways, including those related to synaptic function, glutamate signalling, insulin secretion/action, energy metabolism, lipid biology and adipogenesis.