This new series Mechanics and Physics of Discrete Systems aims to provide a coherent picture of the modern development of discrete physical systems. Each volume will offer an orderly perspective of disciplines such as molecular dynamics, crystal mechanics and/or physics, dislocation, etc. Emphasized in particular are the fundamentals of mechanics and physics that play an essential role in engineering applications. Volume 1, Gauge Theory and Defects in Solids, presents a detailed development of a rational theory of the dynamics of defects and damage in solids. Solutions to field equations are used to determine stresses, dislocation densities and currents that arise from histories of loading of boundaries of bodies. Analysed in detail is a gauge theory with a gauge group that is not semi-simple, and whose action occurs at the classical macroscopic level. Yang-Mills theory is applied where the state variables are elastic displacements in solids, determination of mechanical and electromagnetic observables by choice of gauge conditions is demonstrated, and practices of classical dislocation theory are derived from first principles.

This book surveys the theory of defects in solids, concentrating on the electronic structure of point defects in insulators and semiconductors. The relations between different approaches are described, and the predictions of the theory compared critically with experiment. The physicalassumptions and approximations are emphasized. Theory of Defects in Solids begins with the perfect solid, then reviews the main methods of calculating defect energy levels and wave functions. The calculation of observable defect properties is discussed, and finally, the theory is applied to a range of defects that are very different in nature.This book is intended for research workers and graduate students interested in solid-state physics.

This book surveys the theory of defects in solids, concentrating on the electronic structure of point defects in insulators and semiconductors. The relations between different approaches are described, and the predictions of the theory compared critically with experiment. The physical assumptions and approximations are emphasized. The book begins with the perfect solid, then reviews the main methods of calculating defect energy levels and wave functions. The calculation and observable defect properties is discussed, and finally, the theory is applied to a range of defects that are very different in nature. This book is intended for research workers and graduate students interested in solid-state physics. From reviews of the hardback: 'It is unique and of great value to all interested in the basic aspects of defects in solids.' Physics Today 'This is a particularly worthy book, one which has long been needed by the theoretician and experimentalist alike.' Nature