Covariant Electrodynamics
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Covariant Electrodynamics
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Author : John M. Charap
language : en
Publisher: JHU Press
Release Date : 2011-06-01
Covariant Electrodynamics written by John M. Charap and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Science categories.
A notoriously difficult subject, covariant electrodynamics is nonetheless vital for understanding relativistic field theory. John M. Charap’s classroom-tested introduction to the mathematical foundations of the topic presents the material in an approachable manner. Charap begins with a historical overview of electrodynamics and a discussion of the preliminary mathematics one needs in order to grasp the advanced and abstract concepts underlying the theory. He walks the reader through Maxwell’s four equations, explaining how they were developed and demonstrating how they are applied. From there, Charap moves through the other components of electrodynamics, such as Lorentz transformations, tensors, and charged particle behavior. At each point, he carefully works through the mathematics, applies the concepts to simple physical systems, and provides historical context that makes clear the connections among the theories and the mathematicians responsible for developing them. A concluding chapter reviews the history of electrodynamics and points the way for independent testing of the theory. Thorough, evenly paced, and intuitive, this friendly introduction to high-level covariant electrodynamics is a handy and helpful addition to any physicist’s toolkit.
Covariant Electrodynamics
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Author : John M. Charap
language : en
Publisher: JHU Press
Release Date : 2011-04-26
Covariant Electrodynamics written by John M. Charap and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-26 with Science categories.
A notoriously difficult Subject, covariant electrodynamics is nonetheless vital for understanding relativistic field theory. John M. Charap's classroom-tested introduction to the mathematical foundations of the topic presents the material in an approachable manner. Charap begins with a historical overview of electrodynamics and a discussion of the preliminary mathematics one needs in order to grasp the advanced and abstract concepts underlying the theory. He walks the reader through Maxwell's four equations, explaining how they were developed and demonstrating how they are applied. From there, Charap moves through the other components of electrodynamics, such as Lorentz transformations, tensors, and charged particle behavior. At each point, he carefully works through the mathematics, applies the concepts to simple physical systems, and provides historical context that makes clear the connections among the theories and the mathematicians responsible for developing them. A concluding chapter reviews the history of electrodynamics and points the way for independent testing of the theory. Thorough, evenly paced, and intuitive, this friendly introduction to high-level covariant electrodynamics is a handy and helpful addition to any physicist's toolkit.
Exploring Covariant Electrodynamics Through Solved Problems
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Author : Salvatore Capozziello
language : en
Publisher: Springer
Release Date : 2016-08-06
Exploring Covariant Electrodynamics Through Solved Problems written by Salvatore Capozziello and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-06 with Science categories.
This book introduces the reader to modern covariant electrodynamics by means of solved problems and exercises relating to the motion of charged particles and the generation, propagation, and confinement of radiation. The exercises are intended as a tool to bridge the gap between analytic theories and physical phenomena and will assist the young researcher in developing her/his understanding of the real world. The choice of representative examples has been carefully made with a view to enabling the reader to progress easily from a single example toward more general classes of phenomena. At the start of each chapter the principal required mathematical tools are listed, providing an insight into the technical difficulties to be confronted in that chapter. Particular emphasis is placed on discussion of fundamental experiments and phenomena confirming special relativity, such as the Wilson-Wilson experiment and the Stewart-Tolman, Sagnac, Compton, and Mössbauer effects. Throughout, the book aims to highlight the practical applications of electrodynamics. It will be ideal for master and graduate students in both Physics and Engineering.
Core Electrodynamics
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Author : Sandra Chapman
language : en
Publisher: Springer Nature
Release Date : 2021-02-02
Core Electrodynamics written by Sandra Chapman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-02 with Science categories.
This book is intended to engage the students in the elegance of electrodynamics and special relativity, whilst giving them the tools to begin graduate study. Here, from the basis of experiment, the authors first derive the Maxwell equations and special relativity. Introducing the mathematical framework of generalized tensors, the laws of mechanics, Lorentz force and the Maxwell equations are then cast in manifestly covariant form. This provides the basis for graduate study in field theory, high energy astrophysics, general relativity and quantum electrodynamics. As the title suggests, this book is “electrodynamics lite”. The journey through electrodynamics is kept as brief as possible, with minimal diversion into details, so that the elegance of the theory can be appreciated in a holistic way. It is written in an informal style and has few prerequisites; the derivation of the Maxwell equations and their consequences is dealt with in the first chapter. Chapter 2 is devoted to conservation equations in tensor formulation; here, Cartesian tensors are introduced. Special relativity and its consequences for electrodynamics are introduced in Chapter 3 and cast in four-vector form, and here, the authors introduce generalized tensors. Finally, in Chapter 4, Lorentz frame invariant electrodynamics is developed. Supplementary material and examples are provided by the two sets of problems. The first is revision of undergraduate electromagnetism, to expand on the material in the first chapter. The second is more advanced corresponding to the remaining chapters, and its purpose is twofold: to expand on points that are important, but not essential, to derivation of manifestly covariant electrodynamics, and to provide examples of manipulation of cartesian and generalized tensors. As these problems introduce material not covered in the text, they are accompanied by full worked solutions. The philosophy here is to facilitate learning by problem solving, as well as by studying the text. Extensive appendices for vector relations, unit conversion and so forth are given with graduate study in mind.
Formal Structure Of Electromagnetics
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Author : E. J. Post
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01
Formal Structure Of Electromagnetics written by E. J. Post and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Science categories.
High-level, explicit treatment of the principle of general covariance as applied to electromagnetics examines the natural invariance of the Maxwell equations, general properties of the medium, nonuniformity, anisotropy and general coordinates in three-space, reciprocity and nonreciprocity, and matter-free space with a gravitational field. 1962 edition.
Directed Quantities In Electrodynamics
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Author : Bernard Jancewicz
language : en
Publisher: Springer Nature
Release Date : 2022-02-14
Directed Quantities In Electrodynamics written by Bernard Jancewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-14 with Mathematics categories.
This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout. Featuring over 200 figures, readers will delve into the definitions, properties, and uses of directed quantities in classical field theory. With an emphasis on both mathematical and electrodynamic concepts, the author’s illustrative approach will help readers understand the critical role directed quantities play in physics and mathematics. Chapters are organized so that they gradually scale in complexity, and carefully guide readers through important topics. The first three chapters introduce directed quantities in three dimensions with and without the metric, as well as the development of the algebra and analysis of directed quantities. Chapters four through seven then focus on electrodynamics without the metric, such as the premetric case, waves, and fully covariant four-dimensional electrodynamics. Complementing the book’s careful structure, exercises are included throughout for readers seeking further opportunities to practice the material. Directed Quantities in Electrodynamics will appeal to students, lecturers, and researchers of electromagnetism. It is particularly suitable as a supplement to standard textbooks on electrodynamics.
Introduction To Advanced Electrodynamics
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Author : Kaushik Bhattacharya
language : en
Publisher: Springer Nature
Release Date : 2022-01-25
Introduction To Advanced Electrodynamics written by Kaushik Bhattacharya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-25 with Science categories.
This book summarizes the basics of electricity and magnetism prior to covariant formulation of Maxwell's equations. The book works out the basics of special relativity and then applies the covariant formalism to understand radiation, both in vacuum and in material medium. The emphasis is on cleaner mathematical formalism based on experimental facts. The book contains many problems/exercises which will help the students to understand the basics of the subject. The difference between the present book with existing books of this level lies in the presentation of the topics and the subjects chosen. Instead of presenting a lot of material related to electromagnetism, it presents some very important but selected problems of advanced electromagnetism to students who are learning it for the first time. This book is aimed at graduate/advanced graduate students who have done at least one basic level course in electricity and magnetism.
Introduction To Electrodynamics And Radiation
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Author : Walter T. Jr. Grandy
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Introduction To Electrodynamics And Radiation written by Walter T. Jr. Grandy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Introduction to Electrodynamics and Radiation introduces the reader to electrodynamics and radiation, with emphasis on the microscopic theory of electricity and magnetism. Nonrelativistic quantum electrodynamics (QED) is presented as a logical outgrowth of the classical theory, both relativistic and nonrelativistic. The advanced mathematical and diagrammatic techniques of the relativistic quantum field theory are also described in a simple and easily understood manner. Comprised of 16 chapters, this book opens with an overview of the special theory of relativity and some of its consequences. The following chapters deal with classical relativistic electrodynamics, touching on topics such as tensor analysis and Riemannian spaces; radiation from charged particles; radiation scattering from electrons; and the classical theory of charged particles. The second part of the book is entirely quantum mechanical in outlook, beginning with the quantization of the Hamiltonian formulation of classical electrodynamics. The many-body formalism leading to Fock-space techniques is also considered, along with self-energies and renormalization. The final chapter is devoted to the covariant formulation of QED as well as the validity of QED. This monograph is written primarily for graduate students in elementary classical and quantum mechanics, electricity and magnetism, and modern physics courses.
Generally Covariant Unified Field Theory
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Author : Myron W Evans
language : en
Publisher: Theschoolbook.com
Release Date : 2006-10
Generally Covariant Unified Field Theory written by Myron W Evans and has been published by Theschoolbook.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10 with Science categories.
This book is the first to describe a very successful objective unified field theory which emerged in 2003 and which is already mainstream physics -Einstein Cartan Evans (ECE)field theory.The latter completes the well known work of Einstein and Cartan, who from 1925 to 1955 sought to unify field theory in physics with the principles of general relativity.These principles are based on the need for objectivity in natural philosophy, were first suggested by Francis Bacon in the sixteenth century and developed into general relativity in about 1915.In this year, using Riemann geometry, Einstein and Hilbert independently arrived at an objective field equation for gravitation.Since then there have been many attempts to unify the 1915 gravitational theory with the other three fundamental fields: electromagnetism, the weak and strong fields. As described for the first time in this book, unification is achieved straightforwardly with the principles of standard Cartan geometry and the Evans Ansatz.The latter shows that electromagnetism is spinning spacetime, gravitation is curving spacetime and that they are unified with the structure (or master)equations of Cartan.Quantum mechanics is unified with general relativity using the Evans Lemma and wave equation.Technical appendices and charts are provided which show how all the major equations of physics are obtained from the ECE field theory and two introductory chapters describe the background mathematics from an elementary level. In this third volume, ECE theory is extended to the Sagnac effect and Faraday disc generator to show that electrodynamics is spinning space-time in general relativity.These two effects are difficult to explain with special relativity.A simplified dielectric ECE theory is developed and applied for example to cosmology.One chapter is dedicated to a convenient summary of all the details of Cartan geometry needed to develop ECE theory.The important topic of spin connection resonance (SCR)is introduced and applied to new energy and counter-gravitation.Finally wave mechanics is developed in ECE
Covariant Physics
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Author : Moataz H. Emam
language : en
Publisher: Oxford University Press
Release Date : 2021-03-02
Covariant Physics written by Moataz H. Emam and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Science categories.
Covariant Physics: From Classical Mechanics to General Relativity and Beyond endeavours to provide undergraduate students as well as self-learners with training in the fundamentals of the modern theories of spacetime, most notably the general theory of relativity as well as physics in curved spacetime backgrounds in general. This text does so with the barest of mathematical preparation. In fact, very little beyond multivariable calculus and a bit of linear algebra is assumed. Throughout this textbook, the main theme tying the various topics is the so-called principle of covariance - a fundamental symmetry of physics that one rarely encounters in undergraduate texts. The material is introduced very gradually, starting with the simplest of high school mathematics, and moving through the more intense notions of tensor calculus, geometry, and differential forms with ease. Familiar notions from classical mechanics and electrodynamics are used to increase familiarity with the advanced mathematical ideas, and to emphasize the unity of all of physics under the single principle of covariance. The mathematical and physical techniques developed in this book should allow students to perform research in various fields of theoretical physics as early as their sophomore year in college. The language the reader will learn in this book is the foundational mathematical language of many modern branches of physics, and as such should allow them to read and generally understand many modern physics papers.