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)

The National Minimum Wage and In-work Poverty

The analysis presented in this paper considers the impact on poverty rates of the Labour government�s tax and benefit policy changes in combination with the introduction of the National Minimum Wage (NMW). It examines the contribution of the NMW to direct poverty reduction and to �making work pay�. It concludes that the main contribution made by the NMW to poverty reduction at the household level is probably through its role in underpinning the operation of in-work top-up benefits

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