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.

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

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

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.

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.

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.

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.

Nanostructuring of materials is a task at the heart of many modern disciplines in mechanical engineering, as well as optics, electronics, and the life sciences. This book includes an introduction to the relevant nonlinear optical processes associated with very short laser pulses for the generation of structures far below the classical optical diffraction limit of about 200 nanometers as well as coverage of state-of-the-art technical and biomedical applications. These applications include silicon and glass wafer processing, production of nanowires, laser transfection and cell reprogramming, optical cleaning, surface treatments of implants, nanowires, 3D nanoprinting, STED lithography, friction modification, and integrated optics. The book highlights also the use of modern femtosecond laser microscopes and nanoscopes as novel nanoprocessing tools.

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.

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The Landolt-Bornstein subvolumes III/44A and III/44B update the existing 8 volumes III/41 about Semiconductors and contain new Data and Updates for I-VII, III-V, III-VI, IV, VI and II-VI Compounds. The text, tables figures and references are provided in self-contained document files, each one dedicated to a substance and property. The first subvolume III/44A contains a "Systematics of Semiconductor Properties," which should help the non-specialist user to understand the meaning of the material parameters. Hyperlinked lists of substances and properties lead directly to the documents and make the electronic version an easy-to-use source of semiconductor data. In the new updates III/44A and III/44B, links to existing material in III/41 or to related documents for a specific substance are also included.

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.

Quantum physicist, New York Times bestselling author, and BBC host Jim Al-Khalili offers a fascinating and illuminating look at what physics reveals about the world Shining a light on the most profound insights revealed by modern physics, Jim Al-Khalili invites us all to understand what this crucially important science tells us about the universe and the nature of reality itself. Al-Khalili begins by introducing the fundamental concepts of space, time, energy, and matter, and then describes the three pillars of modern physics-quantum theory, relativity, and thermodynamics-showing how all three must come together if we are ever to have a full understanding of reality. Using wonderful examples and thought-provoking analogies, Al-Khalili illuminates the physics of the extreme cosmic and quantum scales, the speculative frontiers of the field, and the physics that underpins our everyday experiences and technologies, bringing the reader up to speed with the biggest ideas in physics in just a few sittings. Physics is revealed as an intrepid human quest for ever more foundational principles that accurately explain the natural world we see around us, an undertaking guided by core values such as honesty and doubt. The knowledge discovered by physics both empowers and humbles us, and still, physics continues to delve valiantly into the unknown. Making even the most enigmatic scientific ideas accessible and captivating, this deeply insightful book illuminates why physics matters to everyone and calls one and all to share in the profound adventure of seeking truth in the world around us.

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."

In his first book ever, the father of string theory reinvents the world's concept of the known universe and man's unique place within it. Line drawings. Leonard Susskind has been the Felix Bloch Professor in theoretical physics at Stanford University since 1978. The author of The Cosmic Landscape, he is a member of the National Academy of Science and the American Academy of Arts and Sciences, and the recipient of numerous prizes including the science writing prize of the American Institute of Physics for his Scientific American article on black holes. He lives in Palo Alto, California.

For courses in calculus-based physics. Practice makes perfect. The 15th Edition of University Physics with Modern Physics draws on a wealth of data insights from hundreds of faculty and thousands of student users to address one of the biggest challenges for students in introductory physics courses: seeing patterns and making connections between problem types. Students learn to recognise when to use similar steps in solving the same problem type and develop an understanding for problem solving approaches, rather than simply plugging in an equation. This edition addresses students' tendency to focus on the objects, situations, numbers, and questions posed in a problem, rather than recognising the underlying principle or the problem's type. New Key Concept statements at the end of worked examples address this challenge by identifying the main idea used in the solution to help students recognise the underlying concepts and strategy for the given problem. New Key Example Variation Problems appear within new Guided Practice sections and group problems by type to give students practice recognising when problems can be solved in a similar way, regardless of wording or numbers. These scaffolded problem sets help students see patterns, make connections between problems, and build confidence for tackling different problem types when exam time comes.

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.

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.

He's back! The physicist returns with an entirely new compilation of questions and answers from his long-lived website where laypeople can ask questions about anything physics related. This book focuses on adjectives (practical, beautiful, surprising, cool, frivolous) instead of nouns like the first two books (atoms, photons, quanta, mechanics, relativity). The answers within Physics Is are responses to people looking for answers to fascinating (and often uninformed) questions. It covers topics such as sports, electromagnetism, gravitational theory, special relativity, superheroes, videogames, and science fiction. These books are designed for laypeople and rely heavily on concepts rather than formalism. That said, they keep the physics correct and don't water down, so expert physicists will find this book and its two companion titles fun reads. They may actually recognize similar questions posed to them by friends and family. As with the first two books, Physics Is ends with a chapter with questions from people who think that 'The physicist' is a psychic and from people who think they have the answers to life, the universe and everything.

Environmental science is an interdisciplinary academic field that integrates physical-, biological-, and information sciences to study and solve environmental problems. ESSE - The International Conference on Environmental Science and Sustainable Energy provides a platform for experts, professionals, and researchers to share updated information and stimulate the communication with each other. In 2017 it was held in Suzhou, China June 23-25, 2017.

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.