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A Novel Approach To Relativistic Dynamics
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Book Synopsis A Novel Approach to Relativistic Dynamics by : Yaakov Friedman
Download or read book A Novel Approach to Relativistic Dynamics written by Yaakov Friedman and published by Springer Nature. This book was released on 2023-02-18 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph provides a mathematically simple and physically meaningful model which unifies gravity, electromagnetism, optics and even some quantum behavior. The simplicity of the model is achieved by working in the frame of an inertial observer and by using a physically meaningful least action principle. The authors introduce an extension of the Principle of Inertia. This gives rise to a simple, physically meaningful action function. Visualizations of the geometryare obtained by plotting the action function. These visualizations may be used to compare the geometries of different types of fields. Moreover, a new understanding of the energy-momentum of a field emerges. The relativistic dynamics derived here properly describes motion of massive and massless objects under the influence of a gravitational and/or an electromagnetic field, and under the influence of isotropic media. The reader will learn how to compute the precession of Mercury, the deflection of light, and the Shapiro time delay. Also covered is the relativistic motion of binary stars, including the generation of gravitational waves, a derivation of Snell's Law and a relativistic description of spin. We derive a complex-valued prepotential of an electromagnetic field. The prepotential is similar to the wave function in quantum mechanics. The mathematics is accessible to students after standard courses in multivariable calculus and linear algebra. For those unfamiliar with tensors and the calculus of variations, these topics are developed rigorously in the opening chapters. The unifying model presented here should prove useful to upper undergraduate and graduate students, as well as to seasoned researchers.
Book Synopsis Concepts In Relativistic Dynamics by : Lawrence Horwitz
Download or read book Concepts In Relativistic Dynamics written by Lawrence Horwitz and published by World Scientific. This book was released on 2023-05-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mechanics of Newton and Galileo is based on the postulate of a universal time which plays the role of an evolution parameter as well as establishing dynamical correlations between interacting systems. The Michelson-Morley experiment, explained by Einstein in terms of Lorentz transformations, appeared to imply that the time is not absolute, but rather suffers from changes when a system is in motion. Einstein's thought experiment involving a moving system and a laboratory frame of observation, however, indicates that the action of the Lorentz transformation corresponds to an observed effect recorded in the laboratory on a clock that must be running in precise synchronization with that of the observed system. Therefore one concludes that there must be a universal time, as postulated by Newton, and the time that suffers Lorentz transformation becomes an observable dynamical variable. This book describes the effect this observation had on the development of the theory of Stueckelberg, Horwitz and Piron, and the corresponding conceptual basis for many phenomena which can be described in a relativistically covariant framework.
Book Synopsis Introduction to Special Relativity by : Robert Resnick
Download or read book Introduction to Special Relativity written by Robert Resnick and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an excellent introduction to the theory of special relativity. Professor Resnick presents a fundamental and unified development of the subject with unusually clear discussions of the aspects that usually trouble beginners. He includes, for example, a section on the common sense of relativity. His presentation is lively and interspersed with historical, philosophical and special topics (such as the twin paradox) that will arouse and hold the reader's interest. You'll find many unique features that help you grasp the material, such as worked-out examples,summary tables,thought questions and a wealth of excellent problems. The emphasis throughout the book is physical. The experimental background, experimental confirmation of predictions, and the physical interpretation of principles are stressed. The book treats relativistic kinematics, relativistic dynamics, and relativity and electromagnetism and contains special appendices on the geometric representation of space-time and on general relativity. Its organization permits an instructor to vary the length and depth of his treatment and to use the book either with or following classical physics. These features make it an ideal companion for introductory courses.
Book Synopsis Relativistic Dynamics of a Charged Sphere by : Arthur Yaghjian
Download or read book Relativistic Dynamics of a Charged Sphere written by Arthur Yaghjian and published by Springer Science & Business Media. This book was released on 2010-10-19 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a remarkable book. Arthur Yaghjian is by training and profession an electrical engineer; but he has a deep interest in fundamental questions usually reserved for physicists. Working largely in isolation he has studied the relevant papers of an enormous literature accumulated over a century. The result is a fresh and novel approach to old problems and to their solution. Physicists since Lorentz have looked at the problem of the equations of motion of a charged object primarily as a problem for the description of a fundamental particle, typically an electron. Yaghjian considers a mac- scopic object, a spherical insulator with a surface charge. was therefore not tempted to take the point limit, and he thus avoided the pitfalls that have misguided research in this field since Dirac's famous paper of 1938. Perhaps the author's greatest achievement was the discovery that one does not need to invoke quantum mechanics and the correspondence pr- ciple in order to exclude the unphysical solutions (runaway and pre-acc- eration solutions). Rather, as he discovered, the derivation of the classical equations of motion from the Maxwell-Lorentz equations is invalid when the time rate of change of the dynamical variables too large (even in the relativistic case). Therefore, solutions that show such behavior are inc- sistent consequences. The classical theory thus shown to be physically consistent by itself. It embarrassing--to say the least--that this obs- vation had not been made before.
Book Synopsis Teaching Einsteinian Physics in Schools by : Magdalena Kersting
Download or read book Teaching Einsteinian Physics in Schools written by Magdalena Kersting and published by Routledge. This book was released on 2021-08-30 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: In our world today, scientists and technologists speak one language of reality. Everyone else, whether they be prime ministers, lawyers, or primary school teachers speak an outdated Newtonian language of reality. While Newton saw time and space as rigid and absolute, Einstein showed that time is relative – it depends on height and velocity – and that space can stretch and distort. The modern Einsteinian perspective represents a significant paradigm shift compared with the Newtonian paradigm that underpins most of the school education today. Research has shown that young learners quickly access and accept Einsteinian concepts and the modern language of reality. Students enjoy learning about curved space, photons, gravitational waves, and time dilation; often, they ask for more! A consistent education within the Einsteinian paradigm requires rethinking of science education across the entire school curriculum, and this is now attracting attention around the world. This book brings together a coherent set of chapters written by leading experts in the field of Einsteinian physics education. The book begins by exploring the fundamental concepts of space, time, light, and gravity and how teachers can introduce these topics at an early age. A radical change in the curriculum requires new learning instruments and innovative instructional approaches. Throughout the book, the authors emphasise and discuss evidence-based approaches to Einsteinian concepts, including computer- based tools, geometrical methods, models and analogies, and simplified mathematical treatments. Teaching Einsteinian Physics in Schools is designed as a resource for teacher education students, primary and secondary science teachers, and for anyone interested in a scientifically accurate description of physical reality at a level appropriate for school education.
Book Synopsis Relativistic Dynamics of a Charged Sphere by : Arthur D. Yaghjian
Download or read book Relativistic Dynamics of a Charged Sphere written by Arthur D. Yaghjian and published by Springer Nature. This book was released on 2022-09-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to expanding and clarifying a number of sections of the first edition, it generalizes the analysis that eliminates the noncausal pre-acceleration so that it applies to removing any pre-deceleration as well. It also introduces a robust power series solution to the equation of motion that produces an extremely accurate solution to problems such as the motion of electrons in uniform magnetic fields.
Book Synopsis High Performance Computing in Science and Engineering ' 18 by : Wolfgang E. Nagel
Download or read book High Performance Computing in Science and Engineering ' 18 written by Wolfgang E. Nagel and published by Springer. This book was released on 2019-06-07 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in supercomputer simulation. It includes the latest findings from leading researchers using systems from the High Performance Computing Center Stuttgart (HLRS) in 2018. The reports cover all fields of computational science and engineering ranging from CFD to computational physics and from chemistry to computer science with a special emphasis on industrially relevant applications. Presenting findings of one of Europe’s leading systems, this volume covers a wide variety of applications that deliver a high level of sustained performance. The book covers the main methods in high-performance computing. Its outstanding results in achieving the best performance for production codes are of particular interest for both scientists and engineers. The book comes with a wealth of color illustrations and tables of results.
Book Synopsis General Relativistic Dynamics by : Fred I. Cooperstock
Download or read book General Relativistic Dynamics written by Fred I. Cooperstock and published by World Scientific. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.
Download or read book General Relativistic Dynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies by : Joseph O’Leary
Download or read book General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies written by Joseph O’Leary and published by Springer Nature. This book was released on 2021-10-23 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Owing to the increased accuracy requirements in fields such as astrometry and geodesy the general theory of relativity must be taken into account for any mission requiring highly accurate orbit information and for practically all observation and measurement techniques. This book highlights the confluence of Applied Mathematics, Physics and Space Science as seen from Einstein's general theory of relativity and aims to bridge the gap between theoretical and applied domains. The book investigates three distinct areas of general relativity: Exact solutions of the Einstein field equations of gravitation. Dynamics of near-Earth objects and solar system bodies. Relativistic orbitography. This book is an updated and expanded version of the author’s PhD thesis which was awarded the International Astronomical Union PhD prize in Division A: Fundamental Astronomy. Included is a new introduction aimed at graduate students of General Relativity and extended discussions and results on topics in post-Newtonian dynamics and general relativistic spacecraft propagation.
Book Synopsis Properties of QCD Matter at High Baryon Density by : Xiaofeng Luo
Download or read book Properties of QCD Matter at High Baryon Density written by Xiaofeng Luo and published by Springer Nature. This book was released on 2023-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the discussions by renown researchers on questions emerged during transition from the relativistic heavy-ion collider (RHIC) to the future electron ion collider (EIC). Over the past two decades, the RHIC has provided a vast amount of data over a wide range of the center of mass energies. What are the scientific priorities, after RHIC is shut down and turned to the future EIC? What should be the future focuses of the high-energy nuclear collisions? What are thermodynamic properties of quantum chromodynamics (QCD) at large baryon density? Where is the phase boundary between quark-gluon-plasma and hadronic matter at high baryon density? How does one make connections from thermodynamics learned in high-energy nuclear collisions to astrophysical topics, to name few, the inner structure of compact stars, and perhaps more interestingly, the dynamical processes of the merging of neutron stars? While most particle physicists are interested in Dark Matter, we should focus on the issues of Visible Matter! Multiple heavy-ion accelerator complexes are under construction: NICA at JINR (4 ~ 11 GeV), FAIR at GSI (2 ~ 4.9 GeV SIS100), HIAF at IMP (2 ~ 4 GeV). In addition, the heavy-ion collision has been actively discussed at the J-PARC. The book is a collective work of top researchers from the field where some of the above-mentioned basic questions will be addressed. We believe that answering those questions will certainly advance our understanding of the phase transition in early universe as well as its evolution that leads to today's world of nature.
Book Synopsis Relativistic Point Dynamics by : Henri Arzeliès
Download or read book Relativistic Point Dynamics written by Henri Arzeliès and published by Elsevier. This book was released on 2016-10-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic Point Dynamics focuses on the principles of relativistic dynamics. The book first discusses fundamental equations. The impulse postulate and its consequences and the kinetic energy theorem are then explained. The text also touches on the transformation of main quantities and relativistic decomposition of force, and then discusses fields of force derivable from scalar potentials; fields of force derivable from a scalar potential and a vector potential; and equations of motion. Other concerns include equations for fields; transfer of the equations obtained by variational methods into the Minkowski continuum; and analysis of the concepts for force and mass. The text also describes the interaction between two electric charges. The selection also discusses the reconsideration of the equivalence of mass and energy; fundamental postulates and general theorem; and relativistic rockets. The text also focuses on elastic collisions between two corpuscles, inelastic collisions, and the Compton effect. The book is a vital source of data for readers wanting to explore relativistic dynamics.
Book Synopsis Concepts in Relativistic Dynamics by : Lawrence Horwitz
Download or read book Concepts in Relativistic Dynamics written by Lawrence Horwitz and published by World Scientific Publishing Company. This book was released on 2023-05-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with underlying basic concepts in relativity. The fundamental work of Stueckelberg, who formulated a consistent relativistic classical and quantum dynamics, generalized for application to many-body systems by Horwitz and Piron (SHP theory), is explained with emphasis on its conceptual content. The two-body bound state and scattering theory are also discussed. The ideas are involved in the Lindner experiment showing interference in time and the proposed experiment of Palacios et al. searching for the persistence of entanglement at unequal times are discussed. The meaning of the NewtonWigner position operator and the Landau Peierls construction in terms of relativistic dynamics is given. Finally, the embedding of the SHP theory into the framework of general relativity, providing a canonical structure with particle coordinates and momenta, is studied, carrying with it new concepts in relativistic dynamics.
Book Synopsis Dynamics of Classical and Quantum Fields by : Girish S. Setlur
Download or read book Dynamics of Classical and Quantum Fields written by Girish S. Setlur and published by Taylor & Francis. This book was released on 2013-12-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of Classical and Quantum Fields: An Introduction focuses on dynamical fields in non-relativistic physics. Written by a physicist for physicists, the book is designed to help readers develop analytical skills related to classical and quantum fields at the non-relativistic level, and think about the concepts and theory through numerous problems. In-depth yet accessible, the book presents new and conventional topics in a self-contained manner that beginners would find useful. A partial list of topics covered includes: Geometrical meaning of Legendre transformation in classical mechanics Dynamical symmetries in the context of Noether’s theorem The derivation of the stress energy tensor of the electromagnetic field, the expression for strain energy in elastic bodies, and the Navier Stokes equation Concepts of right and left movers in case of a Fermi gas explained Functional integration is interpreted as a limit of a sequence of ordinary integrations Path integrals for one and two quantum particles and for a fermion in presence of a filled Fermi sea Fermion and boson Fock spaces, along with operators that create and annihilate particles Coherent state path integrals Many-body topics such as Schrieffer Wolff transformation, Matsubara, and Keldysh Green functions Geometrical meaning of the vortex-vortex correlation function in a charged boson fluid Nonlocal particle-hole creation operators which diagonalize interacting many-body systems The equal mix of novel and traditional topics, use of fresh examples to illustrate conventional concepts, and large number of worked examples make this book ideal for an intensive one-semester course for beginning Ph.D. students. It is also a challenging and thought provoking book for motivated advanced undergraduates.
Book Synopsis Advances in Nuclear Physics by : Rajeev K. Puri
Download or read book Advances in Nuclear Physics written by Rajeev K. Puri and published by Springer Nature. This book was released on 2020-12-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises select peer-reviewed papers from the Indo-French Workshop on Multifragmentation, Collective Flow, and Sub-Threshold Particle Production in Heavy-Ion Reactions held at the Department of Physics, Panjab University, Chandigarh, India in February, 2019. The contents highlight latest research trends in intermediate energy nuclear physics and emphasize on the various reaction mechanisms which take place in heavy-ion collisions. The chapters contribute to the understanding of interactions that govern the dynamics at sub-nucleonic level. The book includes contributions from global experts hailing from major research facilities of nuclear physics, and provides a good balance between experimental and theoretical model based studies. Given the range of topics covered, this book can be a useful reference for students and researchers interested in the field of heavy-ion reactions.
Book Synopsis Practical Quantum Electrodynamics by : Douglas M. Gingrich
Download or read book Practical Quantum Electrodynamics written by Douglas M. Gingrich and published by CRC Press. This book was released on 2006-05-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.
Book Synopsis Autodynamics by : Ricardo L. Carezani
Download or read book Autodynamics written by Ricardo L. Carezani and published by SAA. This book was released on 1999 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
