This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.

A theoretical and empirical examination of wage differentials findsthat traditional theories of competition do not explain why workers with identical skills are paid differently.

This book covers the physical side of colloidal science from the individual forces acting between particles smaller than a micrometer that are suspended in a liquid, through the resulting equilibrium and dynamic properties. A variety of internal forces both attractive and repulsive act in conjunction with Brownian motion and the balance between them all decides the phase behaviour. On top of this various external fields, such as gravity or electromagnetic fields, diffusion and non-Newtonian rheology produce complex effects, each of which is of important scientific and technological interest. The authors aim to impart a sound, quantitative understanding based on fundamental theory and experiments with well-characterised model systems. This broad grasp of the fundamentals lends insight and helps to develop the intuitive sense needed to isolate essential features of the technological problems and design critical experiments. The main prerequisites for understanding the book are basic fluid mechanics, statistical mechanics and electromagnetism, though self contained reviews of each subject are provided at appropriate points. Some facility with differential equations is also necessary. Exercises are included at the end of each chapter, making the work suitable as a textbook for graduate courses in chemical engineering or applied mathematics. It will also be useful as a reference for individuals in academia or industry undertaking research in colloid science.

Ein Handbuch für die Praxis der Dispersionstechnologie: Weitverstreute Daten aus der Literatur, technische Details und ausgewählte theoretische Grundlagen wurden zu einer übersichtlichen, gut verständlichen Darstellung aufbereitet, die nicht mit Mathematik und komplizierten Zusammenhängen überfrachtet ist. An zahlreichen Beispielen wird erklärt, wie sich verschiedene Dispersionszustände in den Eigenschaften des Produkts widerspiegeln; die Wirkung eines Dispersionsmittels wird auf stoffliche Aspekte, nicht Handelsnamen zurückgeführt. Der Anwender wird in die Lage versetzt, 'seine' Dispersionen gezielt zu verändern, um mechanischen, chemischen und ökologischen Anforderungen der Kunden gerecht zu werden. Mit Herstellerlisten für die technische Ausrüstung! Geschrieben in erster Linie für die industrielle Praxis - weniger für akademische Forschung und Lehre.