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Concepts In Relativistic Dynamics
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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 Concepts In Relativistic Dynamics by : Lawrence Paul Horwitz
Download or read book Concepts In Relativistic Dynamics written by Lawrence Paul Horwitz and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essential Dynamics and Relativity by : Peter J. O’Donnell
Download or read book Essential Dynamics and Relativity written by Peter J. O’Donnell and published by CRC Press. This book was released on 2014-11-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Dynamics & Relativity provides students with an introduction to the core aspects of dynamics and special relativity. The author reiterates important ideas and terms throughout and covers concepts that are often missing from other textbooks at this level. He also places each topic within the wider constructs of the theory, without jumping from topic to topic to illustrate a point. The first section of the book focuses on dynamics, discussing the basic aspects of single particle motion and analyzing the motion of multi-particle systems. The book also explains the dynamical behavior of both composite bodies (rigid bodies) and objects in non-inertial frames of reference (rotating reference frames). The second section concentrates on relativity. The author describes the ideas leading to the inception of special relativity. He also formulates fundamental aspects, such as time dilation, length contraction, Lorentz transformations, and the visual aids of Minkowski diagrams, necessary to develop more sophisticated ideas. He then develops the concepts within the context of relativistic mechanics. With many examples throughout and exercises at the end of each chapter, this text makes the often daunting and confusing ideas of dynamics and special relativity accessible to undergraduate students studying the subjects for the first time.
Book Synopsis Relativistic Many-Body Theory and Statistical Mechanics by : Lawrence P. Horwitz
Download or read book Relativistic Many-Body Theory and Statistical Mechanics written by Lawrence P. Horwitz and published by Morgan & Claypool Publishers. This book was released on 2018-05-31 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications. We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times. In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.
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 Basic Concepts In Relativistic Astrophysics by : Lizhi Fang
Download or read book Basic Concepts In Relativistic Astrophysics written by Lizhi Fang and published by World Scientific Publishing Company. This book was released on 1983-12-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the interesting results of similar works carried out by both authors independently, is presented in a unique manner. This book is written as a token of exchange between the East and the West and it is hoped that it will lead to greater cooperation between the scientists.
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 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 Relativistic Dynamics and Quark-nuclear Physics by : Mikkel B. Johnson
Download or read book Relativistic Dynamics and Quark-nuclear Physics written by Mikkel B. Johnson and published by Wiley-Interscience. This book was released on 1986 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats and contrasts two competing orientations toward nuclear structure and scattering: the traditional, relativistic meson theory and the more modern quark-gluon theory. It includes recent developments and focuses on fundamental theory, featuring discussion of research projects currently under study. Also considered are such topics as the application of meson theory in nuclear physics, the theoretical approach in electron scattering, application of quantum chromatic dynamics to the scattering of electrons from nuclei, lattice gauge theory and much more. The book will be useful to graduate students of all levels.
Book Synopsis From Special Relativity to Feynman Diagrams by : Riccardo D'Auria
Download or read book From Special Relativity to Feynman Diagrams written by Riccardo D'Auria and published by Springer. This book was released on 2015-10-06 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.
Book Synopsis Classical Relativistic Many-Body Dynamics by : M.A. Trump
Download or read book Classical Relativistic Many-Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.
Book Synopsis Constraint's Theory and Relativistic Dynamics by : G. Longhi
Download or read book Constraint's Theory and Relativistic Dynamics written by G. Longhi and published by . This book was released on 1987 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis THE SPECIAL THEORY OF RELATIVITY by : SRIRANJAN BANERJI
Download or read book THE SPECIAL THEORY OF RELATIVITY written by SRIRANJAN BANERJI and published by PHI Learning Pvt. Ltd.. This book was released on 2012-07-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The special theory of relativity, a monumental achievement of scientific creativity, appeared in 1905 as a culmination of deep and careful analysis of contradictions in old notions. The subject is now taught in almost all universities and colleges in the departments of physics and mathematics. This text is designed to give students a solid foundation in experimental background of the theory, relativistic kinematics, relativistic dynamics, and relativistic electrodynamics. What distinguishes the text are some special features, not found in other similar texts, that give a more intuitive understanding of the subject. Another important feature of the text is its clarity and correctness with which the principles, their relations, and their applications are set forth. This well-accepted book, now in its second edition, includes a brief account of the “properties of Cartesian tensors” and also adds “experimental verifications of the mass variation of a particle with velocity and the mass–energy equivalence relation” in Chapter 3. Besides, in Chapter 4, some calculations to show how the potentials obtained for a uniformly moving charge lead to Lorentz transformation have been added. It also includes some new problems in the exercise section of Chapters 2, 3 and 4 with their solutions given in the Appendix. The book will also be useful for competitive examinations to PG and Ph.D. courses. KEY FEATURES : Discusses relativistic mechanics and electrodynamics of continuous media. Presents the covariant four-dimensional formulation of relativistic mechanics and electrodynamics. Explains the Lagrangian and Hamiltonian formulations in mechanics and electrodynamics. Describes the Terrell effect (visual appearance of moving objects) and the Thomas precession. Includes a large number of solved problems. Provides solutions to end-of-chapter exercises.
Book Synopsis The Theory of Special Relativity by : David Brückner
Download or read book The Theory of Special Relativity written by David Brückner and published by GRIN Verlag. This book was released on 2012-12-21 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essay from the year 2012 in the subject Physics - Theoretical Physics, grade: 1.0, , language: English, abstract: The essay presents an intuitive approach to the basics of special relativity, leading to a mathematical understanding of Lorentz transformations, relativistic dynamics and mass-energy equivalence. Until the end of the nineteenth century, the simple Galilean principle of relativity was used to relate physical observations in one frame of reference to another moving relative to it. When the phenomena of electromagnetism and light where unified in Maxwell’s equations, this principle was first called into question as it stood in conflict with the idea of absolute time and motion. The most famous experiment that attempted to determine the absolute motion of the earth, the Michelson-Morley experiment, will be discussed here. Subsequently, the ideas and postulates contained in Einstein’s first paper on relativity will be introduced and hence the kinematic transformations based on the principles will be derived and their implications on the relativity of space and time as well as on Newtonian mechanics will be stated.
Book Synopsis Physical Relativity by : Harvey R. Brown
Download or read book Physical Relativity written by Harvey R. Brown and published by Clarendon Press. This book was released on 2005-11-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines and extends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with the role this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity. Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory with quantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.
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.
