This book discusses the various principles in confocal scanning microscopy which has become a useful tool in many practical fields including biological studies and industrial inspection. The methodology presented in this book is unique and is based on the concept of the three-dimensional transfer functions which have been developed by the author and his colleagues over the last five years. With the 3-D transfer functions, resolving power in 3-D confocal imaging can be defined in a unified way, different optical arrangements can be compared with an insight into their inter-relationship, and images of thick objects can be modeled in terms of the Fourier transform which makes the analysis easy. The aim of this book is to provide a systematic introduction to the concept of the 3-D transfer functions in various confocal microscopes, to describe the methods for the derivation of different 3-D transfer functions, and to explain the principles of 3-D confocal imaging in terms of these functions.

After an introductory chapter concerned with the history of force-free magnetic fields, and the relation of such fields to hydrodynamics and astrophysics, the book examines the limits imposed by the virial theorem for finite force-free configurations. Various techniques are then used to find solutions to the field equations. The fact that the field lines corresponding to these solutions have the common feature of being "twisted", and may be knotted, motivates a discussion of field line topology and the concept of helicity. The topics of field topology, helicity, and magnetic energy in multiply connected domains make the book of interest to a rather wide audience. Applications to solar prominence models, type-II superconductors, and force-reduced magnets are also discussed. The book contains many figures and a wealth of material not readily available elsewhere.

The modern vision of the micromechanism of friction and wear is explored, from the examination of ideal and real crystal structure and adhesion properties to the dynamics of solid frictional interaction. The fundamental quantum-mechanical and relativity principles of particle interaction are considered as basis of friction micro-process examination. The changes in solid structure originated from the influence of different kinds of force fields are considered. The principal possibility of relativity effect manifestation by friction is explained. The critical state of friction - triboplasma - was studied. Structural peculiarities of triboplasma, the kinetics of its transformation during frictional interaction as well as the influence of plasma and postplasma processes on tribojunction friction characteristics and complex formation by friction were examined. The book addresses to tribology researchers.

The 2008 Spring Meeting of the Arbeitskreis Festkorperphysik was held in Berlin, Germany, between February 24 and February 29, 2008 in conjunction with the 72nd Annual Meeting of the Deutsche Physikalische Gesellschaft. The 2008 meeting was the largest physics meeting in Europe and among the largest physics meetings in the world in 2008."

The book describes first the principle photon generation processes from nuclear reactions, electron motion and from discrete quantum transitions. It then focuses on the use of photons in various selected fields of modern natural and life sciences. It bridges disciplines such as physics, chemistry, earth- and materials science, proteomics, information technology, photoelectrochemistry, photosynthesis and spintronics. Advanced light sources and their use in natural and life sciences are emphasized and the effects related to the quantum nature of photons (quantum computing, teleportation) are described. The content encompasses among many other examples the role of photons on the origin of life and on homochirality in biology, femtosecond laser slicing, photothermal cancer therapy, the use of gamma rays in materials science, photoelectrochemical surface conditioning, quantum information aspects and photo-spintronics. The book is written for scientists and graduate students from all related disciplines who are interested in the science beyond their immediate research field. It is meant to encourage interdisciplinary research and development in an age where nanoscience results in a convergence of formerly more disparate science.

p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.

Periodic magnetic structures (undulators) are widely used in accelerators to generate monochromatic undulator radiation (UR) in the range from far infrared to the hard X-ray region. Another periodic crystalline structure is used to produce quasimonochromatic polarized photon beams via the coherent bremsstrahlung mechanism (CBS). Due to such characteristics as monochromaticity, polarization and adjustability, these types of radiation is of large interest for applied and basic research of accelerator-emitted radiation. The book provides a detailed overview of the fundamental principles behind electromagnetic radiation emitted from accelerated charged particles (e.g. UR, CBS, radiation of fast electrons in Laser flash fields) as well as a unified description of relatively new radiation mechanisms which attracted great interest in recent years. This are the so-called polarization radiation excited by the Coulomb field of incident particles in periodic structures, parametric X-rays, resonant transition radiation and the Smith-Purcell effect. Characteristics of such radiation sources and perspectives of their usage are discussed. The recent experimental results as well as their interpretation are presented.

The moduli space Mg of curves of fixed genus g - that is, the algebraic variety that parametrizes all curves of genus g - is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Starting from Sophus Lie, the invariance of a differential equation under its continuous group of symmetries has become a major tool for solving ordinary and partial differential equations, in particular, nonlinear ones. The proceedings focus on the application of these techniques to nonlinear partial differential equations. The state of the art in this field is presented clearly in a series of comprehensive lectures. Several lectures on applications point out the physical importance of such methods.

Starting from Sophus Lie, the invariance of a differential equation under its continuous group of symmetries has become a major tool for solving ordinary and partial differential equations, in particular, nonlinear ones. The proceedings focus on the application of these techniques to nonlinear partial differential equations. The state of the art in this field is presented clearly in a series of comprehensive lectures. Several lectures on applications point out the physical importance of such methods.

Current understanding of different phases as well as the phase transitions between them has only been achieved following recent theoretical advances on the effects of dimensionality in statistical physics. P S Pershan explains the connection between these two separate areas and gives some examples of problems where the understanding is still not complete. The most important example is the second order phase transition between the nematic and smectic-A phase. Others include the relation between the several hexatic phases that have been observed and the first order restacking transitions between phases that were all previously identified as smectic-B, but which should more properly be identified as crystalline-B. Some relatively recent experimental developments on the discotic phase, liquid crystal surfaces and lyotropic phases are also included. The book includes 41 major reprints of some of the recent seminal work on the structure of liquid crystals. They are introduced by a brief review of the symmetries and other properties of liquid crystalline phases. In addition, there is a discussion of the differences between true liquid crystalline phases and others that were described as liquid crystalline in the early literature, but which have since been shown to be true three-dimensional crystals. The progression from the isotropic fluid, through the nematic, smectic, and various crystalline phases can be understood in terms of a systematic decrease in symmetry, together with an accompanying variation in structure is explained. A guide to the selected reprints and a sort of "Rosetta Stone" for these various phases is provided. The goal of this book is to explain the systematics of this progression to students and others that are new to this field, as well as to provide a useful handbook for people already working in the field.

This book is an edited version of lectures given by the authors at the 1985 Jilin University Summer School on Laser Physics. The School was held at Jilin University in Changchun, Peoples' Republic of China.

Geometrical Physics in Minkowski Spacetime is an overview and description of the geometry in spacetime, and aids in the creation and development of intuition in four-dimensional Minkowski space. The deepest understanding of relativity and spacetime is in terms of the geometrical absolutes, and this is what the book seeks to develop. The most interesting topics requiring special relativity are covered, including:SpacetimeVectors in SpacetimeElectromagnetismAsymptotic Momentum ConservationCovectors and Dyadics in SpacetimeEnergy Tensor Although the book is not meant for the complete beginner in special relativity, the mathematical prerequisites for the early chapters of the book are very few - linear algebra and elementary geometry (done using vectors and a scalar product). For the later chapters, multivariable calculus and ordinary differential equations are often needed.

An up-to-date account on the advancement in science and technology and the most recent developments on materials used for solar energy devices is presented with detailed description in the following areas: selective coating for heating and cooling; photovoltaic conversion and comparison among single crystalline silicon, concentrating cells and amorphous silicon and advance tendum coating for selective spectrum which can be used for greenhouse, homes and in energy conservation.

An up-to-date account on the advancement in science and technology and the most recent developments on materials used for solar energy devices is presented with detailed description in the following areas: selective coating for heating and cooling; photovoltaic conversion and comparison among single crystalline silicon, concentrating cells and amorphous silicon and advance tendum coating for selective spectrum which can be used for greenhouse, homes and in energy conservation.

This book introduces the basic theoretical concepts required for the analysis of the optical response of semiconductor systems in the coherent regime. It is the most instructive textbook on the theory and optical effects of semiconductors. The entire presentation is based on a one-dimensional tight-binding model. Starting with discrete-level systems, increasing complexity is added gradually to the model by including band-structure and many-particle interaction. Various linear and nonlinear optical spectra and temporal phenomena are studied. The analysis of many-body effects in nonlinear optical phenomena covers a major part of the book.

This book describes the basic mechanisms, theory, simulations and technological aspects of Laser processing techniques. It covers the principles of laser quenching, welding, cutting, alloying, selective sintering, ablation, etc. The main attention is paid to the quantitative description. The diversity and complexity of technological and physical processes is discussed using a unitary approach. The book aims on understanding the cause-and-effect relations in physical processes in Laser technologies. It will help researchers and engineers to improve the existing and develop new Laser machining techniques. The book addresses readers with a certain background in general physics and mathematical analysis: graduate students, researchers and engineers practicing laser applications.

This book brings together an emerging consensus on our understanding of the complex functional materials including ferroics, perovskites, multiferroics, CMR and high-temperature superconductors. The common theme is the existence of many competing ground states and frustration as a collusion of spin, charge, orbital and lattice degrees of freedom in the presence of disorder and (both dipolar and elastic) long-range forces. An important consequence of the complex unit cell and the competing interactions is that the emergent materials properties are very sensitive to external fields thus rendering these materials with highly desirable, technologically important applications enabled by cross-response.

Laser measurement technology has evolved in the last years in a versatile and reflationary way. Today, its methods are indispensable for research and development activities as well as for production technology. Every physicist and engineer should therefore gain a working knowledge of laser measurement technology.

This book closes the gap of existing textbooks. It introduces in a comprehensible presentation laser measurement technology in all its aspects. Numerous figures, graphs and tables allow for a fast access into the matter. In the first part of the book the important physical and optical basics are described being necessary to understand laser measurement technology. In the second part technically significant measuring methods are explained and application examples are presented.

Target groups of this textbook are students of natural and engineering sciences as well as working physicists and engineers, who are interested to make themselves familiar with laser measurement technology and its fascinating potentials.

This volume is a review on coherent states and some of their applications. The usefulness of the concept of coherent states is illustrated by considering specific examples from the fields of physics and mathematical physics. Particular emphasis is given to a general historical introduction, general continuous representations, generalized coherent states, classical and quantum correspondence, path integrals and canonical formalism. Applications are considered in quantum mechanics, optics, quantum chemistry, atomic physics, statistical physics, nuclear physics, particle physics and cosmology. A selection of original papers is reprinted.

The book presents a synopsis of the main results achieved during the 3 year EU-project "Advanced Inflight Measurement Techniques (AIM)" which applied advanced image based measurement techniques to industrial flight testing. The book is intended to be not only an overview on the AIM activities but also a guide on the application of advanced optical measurement techniques for future flight testing. Furthermore it is a useful guide for engineers in the field of experimental methods and flight testing who face the challenge of a future requirement for the development of highly accurate non-intrusive in-flight measurement techniques.

The aim of the book is to present, in a novel and unified fashion, the elements of Mechanics in Material Space or Configurational Mechanics, with applications to fracture and defect mechanics. This mechanics, in contrast to Newtonian mechanics in physical space, is concerned with defects such as cracks and dislocations, which are embedded in the material and might move in it. The level is kept accessible to any engineer, scientist or graduate student possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.

This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particular reaction-diffusion systems are studied where the medium is in turn either spatially inhomogeneous, compositionally heterogeneous or spatially discrete. Applications span a vast range of interdisciplinary fields and the systems considered can be as different as human or animal groups migrating under external influences, population ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications in detail.

The book reports an extended version of the lectures given by distinguished scholars at the workshop "Fault diagnosis and fault tolerance for dynamic systems" held in conjunction with the 2002 IEEE International Symposium on Intelligent Control in Vancouver, Canada, from 27-30 October 2002. The book collects some of the most recent results in fault diagnosis and fault tolerant systems with particular emphasis on mechatronic systems. Each chapter focuses on either theoretical aspects or applications to different fields of interest in mechatronics such as industrial robotics, underwater vehicles, hydraulic systems, and flight control.