Covariant Electrodynamics


Book Description

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


Book Description

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 Physics


Book Description

A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.




Electrodynamics


Book Description

This book is devoted to the fundamentals of classical electrodynamics, one of the most beautiful and productive theories in physics. A general survey on the applicability of physical theories shows that only few theories can be compared to electrodynamics. Essentially, all electric and electronic devices used around the world are based on the theory of electromagnetism. It was Maxwell who created, for the first time, a unified description of the electric and magnetic phenomena in his electromagnetic field theory. Remarkably, Maxwell’s theory contained in itself also the relativistic invariance of the special relativity, a fact which was discovered only a few decades later. The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, astronomy, engineering, applied mathematics and for researchers working in related subjects. We hope that the reader will not only acquire knowledge, but will also grasp the beauty of theoretical physics. A set of about 130 solved and proposed problems shall help to attain this aim.




Classical Electrodynamics


Book Description

This is a comprehensive and ?user-friendly? textbook for a two-semester graduate level course in physics and electrical engineering. Many applications are given in the text. Over two hundred problems are also given. Problem solving by simple and direct approaches (with detailed calculations) are included, and hints are provided to solve the more difficult problems. Approaches to choosing suitable diagrams, coordinating systems and to symmetry requirements are discussed. Mathematical reviews are also given, with emphasis on intuition and fundamentals.




Classical Electrodynamics


Book Description

This book presents an overview of Classical Electrodynamics. Its second edition includes new chapters that pick up where the material from the first edition left off. The image method introduced in the first edition is expanded to series of images, using simple examples like a point charge or a charged wire between two grounded plates, as well as more relevant examples such as two charged conducting spheres and the force between them. The topic of complex functions is broadened with the introduction of conformal mapping. One new chapter introduces the method of separation of variables, including in Cartesian coordinates (box with sides at fixed voltages), in spherical coordinates (dielectric and conducting sphere, potential of a charged ring), in cylindrical coordinates (conducting wedge, cylinder in uniform field). It also presents the potentials and the fields for a point charge in motion, radiation by a point charge and by a dipole, radiation reaction. Two other chapters present updated lessons on the mass of the photon and search for monopoles. Examples and/or solvable problems are provided throughout.







A Modern Introduction to Classical Electrodynamics


Book Description

A Modern Introduction to Classical Electrodynamics is suitable for undergraduate students with some background knowledge of the subject and for graduate students, while more advanced topics make it a useful resource for PhD students and researchers. The book places much emphasis on the formal structure of the theory; beginning with Maxwell's equations in the vacuum, it emphasises the central role of gauge invariance and Special Relativity. After introductory chapters which include rederivations of elementary results of electrostatics and magnetostatics, and the multipole expansion, Special Relativity is introduced, and most of the subsequent derivations are performed using covariant formalism and gauge potentials, allowing for greater conceptual and technical clarity compared to more traditional treatments. The second part of the book covers electrodynamics in material media. This includes Maxwell's equations in material media, frequency dependent response of materials and Kramers-Kronig relations, electromagnetic waves in materials, and scattering of electromagnetic radiation. Finally, the text also includes advanced topics, such as the field-theoretical treatment of classical electrodynamics as a modern treatment of radiation reaction. These parts are meant for the advanced reader and are clearly marked, and can be skipped without loss of continuity.




Modern Electrodynamics


Book Description

An engaging writing style and a strong focus on the physics make this graduate-level textbook a must-have for electromagnetism students.




Classical Electrodynamics


Book Description

# Retarded Potentials# A Charged Particle With Varying Speed# Radiation Reaction O Multipole Radiation# Motion Of A Charged Particle# Mathematical Preparation# Covariant Description Of Electromagnetic Field# The Lorentz Transformation Of The Electromagnetic Field High-Speed Charged Particle# Appendices.