This book examines how our understanding of the cosmos advanced rapidly during the twentieth century and identifies factors contributing to this progress.
Complex Acoustic Sources, Green’s Functions and Half-Space Problems, Acoustic Radiation and Scattering Using Equivalent Source and Boundary Element Methods
Complex Acoustic Sources, Green’s Functions and Half-Space Problems, Acoustic Radiation and Scattering Using Equivalent Source and Boundary Element Methods
This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green’s functions and related equivalent source and boundary element methods in half-spaces.
This book presents a history of the correspondence principle from a new perspective. The author provides a unique exploration of the relation between the practice of theory and conceptual development in physics. In the process, he argues for a new understanding of the history of the old quantum theory and the emergence of quantum mechanics. The analysis looks at how the correspondence principle was disseminated and how the principle was applied as a research tool during the 1920s. It provides new insights into the interaction between theoretical tools and scientific problems and shows that the use of this theoretical tool changed the tool itself in a process of transformation through implementation. This process, the author claims, was responsible for the conceptual development of the correspondence principle. This monograph connects to the vast literature in the history of science, which analyzed theoretical practices as based on tacit knowledge, skills, and calculation techniques. It contributes to the historical understanding of quantum physics and the emergence of quantum mechanics. Studying how physicists used a set of tools to solve problems, the author spells out the ‟skillful guessing” that went into the making of quantum theoretical arguments and argues that the integration and implementation of technical resources was a central driving force for the conceptual and theoretical transformation in the old quantum theory.
The authors of this book present a thorough discussion of the optical properties of solids, with a focus on electron states and their response to electrodynamic fields. A review of the fundamental aspects of the propagation of electromagnetic fields, and their interaction with condensed matter, is given. This is followed by a discussion of the optical properties of metals, semiconductors, and collective states of solids such as superconductors. Theoretical concepts, measurement techniques and experimental results are covered in three interrelated sections. Well-established, mature fields are discussed (for example, classical metals and semiconductors) together with modern topics at the focus of current interest. The substantial reference list included will also prove to be a valuable resource for those interested in the electronic properties of solids. The book is intended for use by advanced undergraduate and graduate students, and researchers active in the fields of condensed matter physics, materials science and optical engineering.
Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the basic physical principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale, and the chapters follow this classification. The book explains in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. The second edition has been expanded by new sections in computational models on meso/macroscopic scales for ocean and atmosphere dynamics. Numerous applications in environmental physics and geophysics had been added.
Dark matter is a frequently discussed topic in contemporary particle physics. Written strictly in the language of particle physics and quantum field theory, these course-based lecture notes focus on a set of standard calculations that students need in order to understand weakly interacting dark matter candidates. After introducing some general features of these dark matter agents and their main competitors, the Higgs portal scalar and supersymmetric neutralinos are introduced as our default models. In turn, this serves as a basis for exploring four experimental aspects: the dark matter relic density extracted from the cosmic microwave background; indirect detection including the Fermi galactic center excess; direct detection; and collider searches. Alternative approaches, like an effective theory of dark matter and simplified models, naturally follow from the discussions of these four experimental directions.
Atomic Age America looks at the broad influence of atomic energy¿focusing particularly on nuclear weapons and nuclear power¿on the lives of Americans within a world context. The text examines the social, political, diplomatic, environmental, and technical impacts of atomic energy on the 20th and 21st centuries, with a look back to the origins of atomic theory.
My principal aim in writing this book was to present a wide range of astrophysical topics in sufficient depth to give the reader a general quantitative understanding of the subject. The book outlines cosmic events but does not portray them in detail-it provides aseries of astrophysical sketches. I think this approach befits the present uncertainties and changing views in astrophysics. The material is based on notes I prepared for a course aimed at seniors and beginning graduate students in physics and astronomy at Cornell. This course defined the level at which the book is written. For readers who are versed in physics but are unfamiliar with astronomical terminology, Appendix A is included. It gives a brief background of astronomical concepts and should be read before starting the main text. The first few chapters outline the scope of modern astrophysics and deal with elementary problems concerning the size and mass of cosmic objects. However, it soon becomes apparent that a broad foundation in physics is needed to proceed. This base is developed in Chapters 4 to 7 by using, as ex am pIes, specific astronomi cal situations. Chapters 8 to 10 enlarge on the topics first outlined in Chapter I and show how we can obtain quantitative insights into the structure and evolution of stars, the dynamics of co~mic gases, and the large-scale behavior of the universe.
Particles, Fields, Space-Time: From Thomson's Electron to Higgs' Boson explores the concepts, ideas, and experimental results that brought us from the discovery of the first elementary particle in the end of the 19th century to the completion of the Standard Model of particle physics in the early 21st century. The book concentrates on disruptive events and unexpected results that fundamentally changed our view of particles and how they move through space-time. It separates the mathematical and technical details from the narrative into focus boxes, so that it remains accessible to non-scientists, yet interesting for those with a scientific background who wish to further their understanding. The text presents and explains experiments and their results wherever appropriate. This book will be of interest to a general audience, but also to students studying particle physics, physics teachers at all levels, and scientists with a recreational curiosity towards the subject. Features Short, comprehensive overview concentrating on major breakthroughs, disruptive ideas, and unexpected results Accessible to all interested in subatomic physics with little prior knowledge required Contains the latest developments in this exciting field
Class Warfare: Besieged Schools, Bewildered Parents, Betrayed Kids and the Attack on Excellence offers a first-hand account of the Great American Education War being waged from coast to coast, including the reading wars, math wars, testing wars, and other schoolyard scuffles reported almost daily by the nation’s media. Martin Rochester takes the reader on a field trip that begins with his own upper-middle class suburban school district in St. Louis and then moves on to inner-city locales and some of the best private schools, in showing how “pack pedagogy” has steamrolled parent resistance in promoting disasters such as whole-language, fuzzy math, multiple intelligences theory, teacher-as-coach, the therapeutic classroom, and all the other latest fads found in today’s schools. A college professor, Rochester became deeply involved in public education as a result of his children’s misadventures in the classroom. After several years of trying to improve the status quo as a dogged volunteer, he graduated from involved parent to informed critic of a system in which “progressive” educators continue to assault the techniques of traditional schooling (ability-grouping, grades, homework, etc), allow nonacademic diversions to crowd out academic study, and subordinate a commitment to excellence to an obsession with “equity.” As a result of his experiences, Rochester concludes that all children are being victimized, not only the most gifted, but especially “average” students and those lower achieving kids whose needs are now supposedly driving the entire curriculum. Martin Rochester began as a concerned parent and wound up creating a fever chart of what is wrong in our nation’s classrooms.
Fully updated and including data from space-based observations, this Third Edition is a comprehensive compilation of the facts and figures relevant to astronomy and astrophysics. As well as a vast number of tables, graphs, diagrams and formulae it also includes a comprehensive index and bibliography, allowing readers to easily find the information they require. The book contains information covering a diverse range of topics in addition to astronomy and astrophysics, including atomic physics, nuclear physics, relativity, plasma physics, electromagnetism, mathematics, probability and statistics, and geophysics. This handbook contains the most frequently used information in modern astrophysics, and will be an essential reference for graduate students, researchers and professionals working in astronomy and the space sciences. A website with links to extensive supplementary information and databases can be found at www.cambridge.org/9780521782425.
The ideal companion in condensed matter physics - now in new and revised edition. Solving homework problems is the single most effective way for students to familiarize themselves with the language and details of solid state physics. Testing problem-solving ability is the best means at the professor's disposal for measuring student progress at critical points in the learning process. This book enables any instructor to supplement end-of-chapter textbook assignments with a large number of challenging and engaging practice problems and discover a host of new ideas for creating exam questions. Designed to be used in tandem with any of the excellent textbooks on this subject, Solid State Physics: Problems and Solutions provides a self-study approach through which advanced undergraduate and first-year graduate students can develop and test their skills while acclimating themselves to the demands of the discipline. Each problem has been chosen for its ability to illustrate key concepts, properties, and systems, knowledge of which is crucial in developing a complete understanding of the subject, including: * Crystals, diffraction, and reciprocal lattices. * Phonon dispersion and electronic band structure. * Density of states. * Transport, magnetic, and optical properties. * Interacting electron systems. * Magnetism. * Nanoscale Physics.
This thrilling new volume from Martin Bowman focusses on British, Canadian, Australian and German soldiers and airmen who were captured during the First World War. Determined that they wouldnt spend the rest of the conflict incarcerated uselessly behind bars, they endeavored to escape. These are their stories.All aspects of prison life are covered here, and the author examines the various escape tactics that were employed by British soldiers and airmen held in PoW camps all over Germany and Turkey. In order to provide a balanced account, the author has also uncovered stories of German navy and army escapees who attempted to flee from England.Each chapter is preceded by an account which explains the types of camps used in Britain and Germany, the numbers involved, the food, the camp money system for worker prisoners and a general appreciation of the conditions and chronology. Firsthand accounts from the prisoners themselves are then woven into the picture, creating an authentic sense of the PoW experience.The emphasis of this unique book is placed on the human story of the main characters, the unparalleled action on the Western Front and the interaction and camaraderie experienced between soldiers and airmen held in prison camps in England, Germany and Turkey during the Second World War.
Time and matter are the most fundamental concepts in physics and in any science-based description of the world around us. Quantum theory has, however, revealed many novel insights into these concepts in non-relativistic, relativistic and cosmological contexts. The implications of these novel perspectives have been realized and, in particular, probed experimentally only recently. In the papers in this proceedings, these issues are discussed in a truly interdisciplinary fashion from philosophical and historical perspectives. The leading contributors, including Nobel laureates T W Hnnsch and G t'' Hooft, address both experimental and theoretical issues. Sample Chapter(s). Chapter 1: The Measurement to Time with Atomic Clocks (742 KB). Contents: Measuring Time; Causality and Signal Propagation; Coherence and Decoherence; CP and T Violation; Macroscopic Time Reversal and the Arrow of Time; New Paradigms. Readership: Physicists, philosophers and historians of science, graduate students of physics.
Key features: Complete introductory overview of cosmic ray physics Covers the origins, acceleration, transport mechanisms and detection of these particles Mathematical and technical detail is kept separate from the main text
Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.
NOW AN ACCLAIMED DOCUMENTARY, Winter Journey Set amid the growing tyranny of Germany's Third Reich, here is the riveting and emotional tale of Günther Goldschmidt and Rosemarie Gumpert, two courageous Jewish musicians who struggled to perform under unimaginable circumstances—and found themselves falling in love in a country bent on destroying them. In the spring of 1933, as the full weight of Germany's National Socialism was brought to bear against Germany's Jews, more than 8,000 Jewish musicians, actors, and other artists found themselves expelled from their positions with German orchestras, opera companies, and theater groups, and Jews were forbidden even to attend "Aryan" theaters. Later that year, the Jüdische Kulturbund, or Jewish Culture Association, was created under the auspices of Joseph Goebbels's Ministry of Public Enlightenment and Propaganda. Providing for Jewish artists to perform for Jewish audiences, the Kulturbund, which included an orchestra, an opera company, and an acting troupe, became an unlikely haven for Jewish artists and offered much-needed spiritual enrichment for a besieged people—while at the same time providing the Nazis with a powerful propaganda tool for showing the rest of the world how well Jews were ostensibly being treated under the Third Reich. It was during this period that twenty-two-year-old flutist Günther Goldschmidt was expelled from music school because of his Jewish roots. While preparing to flee the ever-tightening grip of Nazi Germany for Sweden, Günther was invited to fill in for an ailing flutist with the Frankfurt Kulturbund Orchestra. It was there, during rehearsals, that he met the dazzling nineteen-year-old violist Rosemarie Gumpert—a woman who would change the course of his life. Despite their strong attraction, Günther eventually embarked for the safety of Sweden as planned, only to risk his life six months later returning to the woman he could not forget—and to the perilous country where hatred and brutality had begun to flourish. Here is Günther and Rosemarie's story, a deeply moving tale of love and the remarkable resilience of the human spirit in the face of terror and persecution. Beautifully and simply told by their son, National Public Radio commentator Martin Goldsmith, The Inextinguishable Symphony takes us from the cafés of Frankfurt, where Rosemarie and Günther fell in love, to the concert halls that offered solace and hope for the beleaguered Jews, to the United States, where the two made a new life for themselves that would nevertheless remain shadowed by the fate of their families. Along with the fate of Günther and Rosemarie's families, this rare memoir also illuminates the Kulturbund and the lives of other fascinating figures associated with it, including Kubu director Kurt Singer—a man so committed to the organization that he objected to his artists' plans for flight, fearing that his productions would suffer. The Kubu, which included some of the most prominent artists of the day and young performers who would gain international fame after the war, became the sole source of culture and entertainment for Germany's Jews. A poignant testament to the enduring vitality of music and love even in the harshest times, The Inextinguishable Symphony gives us a compelling look at an important piece of Holocaust history that has heretofore gone largely untold.
This book is an introduction to the simple math patterns used to describe fundamental, stable, spectral-orbital physical systems (represented as discrete hyperbolic shapes). The containment set has many dimensions, and these dimensions possess macroscopic geometric properties (which are discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy and which has a natural structure for memory, where this construct is made in relation to the main property of the description being the spectral properties of both material systems and of the metric-spaces that contain the material systems, where material is simply a lower dimension metric-space and where both material components and metric-spaces are in resonance with the containing space.
Although there are many books available on the preparation, properties, and characterization of nanomaterials, few provide an interdisciplinary account of the physical phenomena that govern the novel properties of nanomaterials. Addressing this shortfall, Nanoscale Physics for Materials Science covers fundamental cross-disciplinary concepts in mate
Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics — what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see 'an identity in a manifold presentation of profiles,' as the phenomenologists would say.This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an 'ugly' first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.
Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.
Since the introduction of laser technology into medicine, quite a number of clinical applications in orthopaedics have been developed. This text is the first to provide comprehensive guidelines and how-to-do instructions for the application of lasers in orthopaedics. These cover patient selection and decision-making as well as the benefits and risks of the clinical application of lasers in arthroscopic surgery, spine surgery and open surgery. An overview is given on the basics of laser technology and the various laser types are evaluated in terms of optimal use.
Naum Gabo (1890-1977), whose eventful life took him from his native Russia to Berlin, Paris, London, and finally the United States, achieved renown as one of the most inventive and controversial figures in twentieth-century sculpture. This book is the first comprehensive account of Gabo's life, career, and artistic theory and practice. Martin Hammer and Christina Lodder explore in detail the evolution of the artist's work and his aesthetic concerns, creative processes, assimilation of such new materials as plastic, and approach to public sculpture. The authors also examine his response to the scientific and political revolutions of his age and trace the origins and development of Gabo's utopian conviction that Constructivist art was profoundly in tune with modernity, social progress, and advances in science and technology. Drawing on Gabo's extensive and largely unpublished archives of letters, diaries, notebooks, models, and sketchbooks, Hammer and Lodder discuss the sculptor's work in the context of his relations with other avant-garde artists, architects, and critics, including his brother Antoine Pevsner. They also situate his aesthetic theory and practice within the Constructi
Anyone who has always wanted to understand the hieroglyphs on Sheldon's blackboard in the television series The Big Bang Theory or who wanted to know exactly what the fate of Schrödinger's cat is all about will find a short, descriptive introduction to the world of quantum mechanics in this essential . In particular, the text focuses on the mathematical description in the Hilbert space. The content goes beyond popular scientific presentations, but is nevertheless suitable for readers without special prior knowledge thanks to the clear examples. This Springer essential is a translation of the original German 1st edition essentials, Quantenmechanik by Martin Pieper published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019.The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. The author: Prof. Dr. Martin Pieper has been Professor of Mathematics and Simulation at the FH Aachen since 2011. Before he was appointed to the FH Aachen, he was a research assistant in the Optimization department of the Fraunhofer Institute for Industrial Mathematics.
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