Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction

We present the exact solution to a one-dimensional multicomponent quantum lattice model interacting by an exchange operator which falls off as the inverse-sinh-square of the distance. This interaction contains a variable range as a parameter, and can thus interpolate between the known solutions for the nearest-neighbor chain, and the inverse-square chain. The energy, susceptibility, charge stiffness and the dispersion relations for low-lying excitations are explicitly calculated for the absolute ground state, as a function of both the range of the interaction and the number of species of fermions.Comment: 13 REVTeX pages + 5 uuencoded figures, UoU-003059

Algorithms to solve the Sutherland model

We give a self-contained presentation and comparison of two different algorithms to explicitly solve quantum many body models of indistinguishable particles moving on a circle and interacting with two-body potentials of $1/\sin^2$-type. The first algorithm is due to Sutherland and well-known; the second one is a limiting case of a novel algorithm to solve the elliptic generalization of the Sutherland model. These two algorithms are different in several details. We show that they are equivalent, i.e., they yield the same solution and are equally simple.Comment: 15 pages, LaTe

Training and employee use of skills in Scotland : some evidence

Increasing labour productivity is considered to be the most important means by which the Scottish Government will achieve its principal economic objective of increasing sustainable economic growth (Scottish Government, 2007a, p.1); and the policy assumption is that labour productivity will increase, directly and indirectly, as a consequence of increasing workforce skills levels (Leitch Review of Skills, 2007: Scottish Government, 2007b, p6). However, increases in human capital investments, especially over the last two decades, have not been translated into improvements in labour productivity. As the Scottish Government (2007a) itself acknowledges: “… strong performance on skills and qualifications does not feed through effectively enough to productivity” (p14)

Inside the Scottish workplace : employee perspectives from the 2004 Workplace Employment Relations Survey

Employee perspectives of their jobs, their managers and management-employee relationships at their places of work are important for two reasons. First, they help explain the current behaviour of some workers, such as lateness, absenteeism, or shirking on the job, all contributing to low worker productivity. Secondly, they help predict the future behaviour of all workers, notably their likelihood of quitting their present job

Good housekeeping: ensuring the basis for sustained poverty reduction

Reducing levels of child poverty (as well as poverty in general) in a way that can be sustained over time requires not only policy measures that create opportunities and future capabilities. It also depends on having a social protection system that keeps pace with economic and social change and is appropriate across all communities, and which does not itself preclude individual risk-taking and initiative. Some conflict is inevitable between the goal of providing adequate social protection for those unable to support themselves and that of maintaining incentives to work and to save for those who have the potential to do so. Nevertheless, there are aspects of the design and evolution of cash benefits (and associated policies) that can improve the terms of the trade-off between the two goals. This paper draws on the experience of the United Kingdom's child poverty agenda over the last eight years, and on assessments of the prospects for a sustained reduction in child poverty in the future, to explore what these features might be. It also considers evidence from international comparisons of poverty and social protection systems