These two volumes constitute the Proceedings of the ConfA(c)rence MoshA(c) Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.

This book deals with the subject of optical and electronic negative refraction (NR) and negative index materials NIM). Diverse approaches for achieving NR and NIM are covered, such as using photonic crystals, phononic crystals, split-ring resonators (SRRs) and continuous media, focusing of waves, guided-wave behavior, and nonlinear effects. It is perhaps the most comprehensive book on the new class of negative refraction materials, covering all aspects of negative refraction and negative index materials.

For ultra-realistic AQA A-Level Physics exam practice, look no further than our superb Practice Papers! This pack contains a full set of Physics Practice Papers, all set at the same difficulty as the real exams. It covers all the core topics, plus options 9-12 of the AQA course! We've also included detailed answers with step-by-step solutions and mark schemes. For even more practice, don't miss our Exam Practice Workbook for both years of AQA A-Level Physics (9781782949169).

These two volumes constitute the Proceedings of the ConfA(c)rence MoshA(c) Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.

Physics is the science that studies how our universe behaves: from the tiny subatomic world of particle physics to the cosmos of astrophysics and so much more in between.Mind Maps: Physics helps the reader to understand the importance of physics and to learn its language by exploring ten mind maps, which are powerful tools for visual learning and understanding. Complex ideas are explained using text and illustrations that are easy to follow. Featuring specially commissioned, hand-drawn maps, diagrams and doodles, together with an expert analysis of concepts, this book provides a wealth of visual information to explore and discover.

This volume of the Handbook illustrates the rich variety of topics covered by rare earth science. Three chapters are devoted to the description of solid state compounds: skutterudites (Chapter 211), rare earth -antimony systems (Chapter 212), and rare earth-manganese perovskites (Chapter 214). Two other reviews deal with solid state properties: one contribution includes information on existing thermodynamic data of lanthanide trihalides (Chapter 213) while the other one describes optical properties of rare earth compounds under pressure (Chapter 217). Finally, two chapters focus on solution chemistry. The state of the art in unraveling solution structure of lanthanide-containing coordination compounds by paramagnetic nuclear magnetic resonance is outlined in Chapter 215. The potential of time-resolved, laser-induced emission spectroscopy for the analysis of lanthanide and actinide solutions is presented and critically discussed in Chapter 216.

Written as a set of tutorial reviews on both experimental facts and theoretical modelling, this volume is intended as an introduction and modern reference in the field for graduate students and researchers in biophysics, biochemistry and applied mathematics.

The essays in this book are based on researches the author has undertaken on a wide range of topics, some using equipment no more elaborate than what one can find in an ordinary kitchen, others making elegant use of sophisticated experimental apparatus. Presenting a personal odyssey in physics, Silverman investigates processes for which no visualizable mechanism can be given, or that seem to violate fundamental physical laws (but do not), or that appear to be well understood but turn out to be subtly devious. Written in an engagingly personal style, the essays will be of interest to students of physics and related disciplines as well as professional physicists. Though they deal with subtle concepts, the discussions use little mathematics, and anyone with a little college physics will be able to read the book with pleasure. Silverman's researches deal with in quantum mechanics, atomic and nuclear physics, electromagnetism and optics, gravity, thermodynamics, and the physics of fluids, and these essays address .such questions as: How does one know that atomic electrons move? Would an "anti-atom" fall upward? How is it possible for randomly emitted particles to arrive at a detector preferentially in pairs? Can one influence electrons in London by not watching them in New York? Can a particle be influenced by a magnetic field through which it does not pass? A basketball is not changed by turning it once around its axis, but what about an electron? Can more light reflect from a surface than is incident upon it? "A Universe of Atoms" is the second edition of Silverman's "And Yet It Moves"; each essay in the earlier collection has been revised and updated, and some new essays on the uncommon physics of common objects have been added

Definitions of what is meant by a heat-resistant polymer vary considerably. We have taken the term to mean a polymer which can be used, at least for short time periods, at temperatures from 150 DegreesC. The greatest problem which arises in writing a monograph on such materials is the tremendous amount of data that is available. More than 2000 references have been published on one heat-resistant polymer system alone over a period of little more than two years. The result is that a very high degree of selectivity must be exercised with respect to the information reproduced. We have chosen to restrict our coverage to polymers that have received at least some degree of commercial exploitation and to details of their methods of preparation, their thermal and thermo-oxidative stabilities and modes of degradation, and their properties at elevated temperatures. It must be emphasized that other properties not cited, e. g. , hydrolytic and chemical stability, and resistance to ultraviolet radiation, may be equally important in particular uses of these materials. The "older" heat-resistant polymers, e. g. , the thermosets and some of the fluorine-containing materials, are not dealt with in such depth as are the "newer" polymers with aromatic and/or heterocyclic rings in the chain. This is because books have been available for some time on the well-established commercial polymers and developments in them have not been as marked re cently as in the aromatic and heterocyclic macromolecules.

This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Universite Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics. "

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica(r) to derive numeric and symbolic solutions.

Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user's purposes.

New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

"

In 1912 Lawrence Bragg explained the interaction of X-rays with crystals, and he and his father (William) thereby pioneered X-ray spectroscopy and X-ray crystallography. They then led the latter field internationally for 50 years, when most areas of science were transformed by the knowledge created: physics, chemistry, geology, materials science, electronics, and most recently biology and medical science. This book charts how this humble pair (William English, his son Australian) rose from obscurity to international prominence and then back to current, undeserved obscurity. Attention is also given to the crucial roles of both father and son during the dreadful years of the First World War, and to William's early and unshakeable belief in the dual wave and particle natures of radiation and his eventual vindication.
Unlike earlier studies, the book highlights the intimate interactions between father and son that made their project possible, emphasizes personal, family, and wider human relationships, and offers new insights into teaching and research in a British colonial setting.

The Dictionary of Physics is a major reference source in the vast and dynamic field of physics that caters for both the undergraduate and graduate student. Spanning the space between the primary literature and educational texts, it encompasses 16,000 entries and 1.8 million words in four volumes. It provides exhaustive coverage of all the core areas of physics, and comprehensively examines many applied and cross-disciplinary areas. words) include a headword plus concise definition and cross-references to related entries. Description Entries (400-500 words) included a headwords with a concise definition or abstract, plus a detailed discussion with references. Topical Entries (3,000+) include a headword and a concise definition plus an extended essay on an overarching topic with references and further reading.

For the first time in book form, this comprehensive and systematic monograph presents the methods for the reversible synthesis of logic functions and circuits. This methodology offers designers the capability to solve major problems in system design now and in the future, such as the high rate of power consumption, and the emergence of quantum effects for highly dense ICs. The challenge addressed here is to design reliable systems that consume as little power as possible and in which the signals are processed and transmitted at very high speeds with very high signal integrity. Researchers in academia or industry and graduate students, who work in logic synthesis, computer design, computer-aided design tools, and low power VLSI circuit design, will find this book a valuable resource.

This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag). Moreover he played a decisive role in the foundation of these two series by helping to establish contacts between Birkhauser and the founder and present chief editor of this book series after his emigration from Moldavia in 1974. The volume is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to E. Meister. We hope that a great part of the numerous features of his life and work can be re-discovered from this book."

Originally published in 1979. This reprints the revised and expanded edition of 1996. In this volume, physicists, biologists and chemists, who have been involved in some of the most exciting discoveries in modern scientific thought explore issues which have shaped modern physics and which hint at what may form the next scientific revolution. The major issues discussed are the understanding of time and space, quantum and relativity theories and recent attempts to unite them and related questions in theoretical biology.

This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a wide range of topics, including numerical analysis, fluid mechanics, operation research, optimization, statistics and game theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists, and provides an excellent overview of the latest research in mathematical sciences.

Sophus Lie (1842-1899) is without doubt one of Norway's greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abel. The terms Lie groups and Lie algebra are today part of the standard mathematical vocabulary. In his comprehensive biography the author Arild Stubhaug let us come close to both the person Sophus Lie and his time. We follow him through childhood at the vicarage in Nodfjordeid, his growing up in Moss, school and studying in Christiania, travelling in Europe and his contacts with the leading mathematicians of his time. The academic and scientific career brought Lie from Christiania to Leipzig as professor, before the attempt to call him back to Norway, when she stood on the threshhold to national sovereignty, was successful.

String Theory is our current best candidate for the unification of all fundamental forces, including gravity, in a consistent quantum framework. In this collection of lectures delivered at the Carg se Summer School "String Theory: from Gauge Interactions to Cosmology'', world leading experts provide an up-to-date survey of the latest developments in this topic, including the gauge/gravity correspondence, superstring cosmology and cosmic strings, topological string theory and matrix models, physics beyond the standard model and the landscape of vacua of string theory, conformal field theory and critical phenomena in statistical mechanics. Many more topics are also discussed in shorter contributions by School participants. Written with an emphasis on pedagogy, this volume will be a invaluable resource to students and experts alike.

2 Elementary systems on G-manifolds. 292 3 Two elementary systems: The(GxG)-manifold and its subma- fold splitting underdiag(GxG). 293 4 Examples of internal coordinates on(GxG). 297 5 Kronecker products and two-particle state decompositions on(Gx G). 298 6 Fusion of two elementary systems on(GxG). 300 7 Elementary systems on the Poincare-manifold. ' 301 7. 1 Mackey and covariant ?elds. 301 7. 2 From covariant to Mackey ?elds. 302 7. 3 Obstruction of Poincare-manifolds ' by covariant ?elds. 303 8 Relativistic position operators and coordinates. 305 8. 1 Position operators for relativistic Mackey ?elds. 305 8. 2 Position operators for ?elds with spin. 306 9 From Dirac ?elds to Bargmann-Wigner ?elds by fusion. 307 10 Elementary systems in interaction. 309 10. 1 Euclidean invariant interactions. 309 10. 2 Interacting Dirac spinor ?elds. 310 11 Scission of an elementary system. 311 12 Conclusion. 313 13 Appendix. 313 13. 1 A: Orthogonality and completeness of unitary represen- tions. 313 13. 2 B: Parameters, cosets and multiplication rules forSl(2,C). 313 13. 3 C: Observables in the relativistic 2-body system. 314 Propagation in crossed electric and magnetic ?elds 317 T. Kramer, C. Bracher 1 Introduction 317 2 Elastic scattering and quantum sources 318 2. 1 Connection to the propagator 319 2. 2 Currents generated by quantum sources 321 2. 3 Density of States 322 2. 4 Construction of the Green function 322 3 Matter waves in crossed electric and magnetic ?elds 324 3. 1 The quantum propagator 324 3.

The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method (QTT) which provides function-operator calculus in higher dimensions in logarithmic complexity rendering super-fast convolution, FFT and wavelet transforms. This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green's and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients. Contents Theory on separable approximation of multivariate functions Multilinear algebra and nonlinear tensor approximation Superfast computations via quantized tensor approximation Tensor approach to multidimensional integrodifferential equations

This book presents recent results in the following areas: spectral analysis of one-dimensional Schrodinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. Several developments treated appear for the first time in a book. It is addressed to a wide group of specialists working in operator theory or mathematical physics.

This book is an outgrowth of ideas originating from 1. Kluvanek. Unfortunately, Professor Kluvanek did not live to contribute to the project of writing up in a systematic form, the circle of ideas to which the present work is devoted. It is more than likely that with his input, the approach and areas of emphasis of the resulting exposition would have been quite different from what we have here. Nevertheless, the stamp of Kluvanek's thought and philosophy (but not necessarily his approval) abounds throughout this book. Although the title gives no indication, integration theory in vector spaces is a cen tral topic of this work. However, the various notions of integration developed here are intimately connected with a specific application-the representation of evolutions by func tional integrals. The representation of a perturbation to the heat semigroup in terms of Wiener measure is known as the Feynman-Kac formula, but the term has a wider meaning in the present work. Traditionally, such representations have been used to obtain analytic information about perturbations to free evolutions as an alternative to arguments with a more operator-theoretic flavour. No applications of this type are given here. It is an un derlying assumption of the presentation of this material that representations of the nature of the Feynman-Kac formula are worth obtaining, and in the process of obtaining them, we may be led to new, possibly fertile mathematical structures-a view largely motivated by the pervasive use of path integrals in quantum physics."