Covariant Electrodynamics

Covariant Electrodynamics PDF

Author: John M. Charap

Publisher: JHU Press

Published: 2011-06-01

Total Pages: 224

ISBN-13: 1421401231

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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

Covariant Electrodynamics PDF

Author: John M. Charap

Publisher: JHU Press

Published: 2011-04-26

Total Pages: 184

ISBN-13: 1421400154

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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

Covariant Physics PDF

Author: Moataz Emam

Publisher: Oxford University Press, USA

Published: 2021-02-21

Total Pages: 403

ISBN-13: 0198864892

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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.

High-Field Electrodynamics

High-Field Electrodynamics PDF

Author: Frederic V. Hartemann

Publisher: CRC Press

Published: 2001-12-27

Total Pages: 689

ISBN-13: 1420038559

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Tremendous technological developments and rapid progress in theory have opened a new area of modern physics called high-field electrodynamics: the systematic study of the interaction of relativistic electrons or positrons with ultrahigh-intensity, coherent electromagnetic radiation. This advanced undergraduate/graduate-level text provides a

Classical Electrodynamics

Classical Electrodynamics PDF

Author: John David Jackson

Publisher: John Wiley & Sons

Published: 2021

Total Pages: 838

ISBN-13: 1119770769

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The third edition of the defining text for the graduate-level course in Electricity and Magnetism has finally arrived! It has been 37 years since the first edition and 24 since the second. The new edition addresses the changes in emphasis and applications that have occurred in the field, without any significant increase in length.

Quantum Electrodynamics

Quantum Electrodynamics PDF

Author: Toichiro Kinoshita

Publisher: World Scientific

Published: 1990

Total Pages: 1024

ISBN-13: 9789810202149

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Quantum electrodynamics is an essential building block and an integral part of the gauge theory of unified electromagnetic, weak, and strong interactions, the so-called standard model. Its failure or breakdown at some level would have a most profound impact on the theoretical foundations of elementary particle physics as a whole. Thus the validity of QED has been the subject of intense experimental tests over more than 40 years of its history. This volume presents an up-to-date review of high precision experimental tests of QED together with comprehensive discussion of required theoretical work.

On the Physical Necessity for General Covariance in Electromagnetic Theory

On the Physical Necessity for General Covariance in Electromagnetic Theory PDF

Author: E. J. Post

Publisher:

Published: 1964

Total Pages: 36

ISBN-13:

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This paper reviews the essentials of the principle of general covariance and emphasizes the points of contrast with the more restricted but more accepted forms of covariance such as Lorentz covariance. It is emphasized that the implementation of general covariance should aim at a maximized functional separation between the formulation of the physical laws and the description of the specific physical system or medium under consideration; uniqueness of the implementation is determined by choosing dependent variables that bring out the functional separation. The invariance group of the law should be a covering group of the symmetry group characterizing the system or medium to which the law is applied. The procedure, which removes existing paradoxes and inconsistencies, is illustrated by examples from electromagnetic theory. A discussion of general principles helps to establish unique procedures for the implementation of general covariance. (Author)

A Modern Introduction to Classical Electrodynamics

A Modern Introduction to Classical Electrodynamics PDF

Author: Michele Maggiore

Publisher: Oxford University Press

Published: 2023-08-28

Total Pages: 465

ISBN-13: 0192867423

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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

Modern Electrodynamics PDF

Author: Andrew Zangwill

Publisher: Cambridge University Press

Published: 2013

Total Pages: 1005

ISBN-13: 0521896975

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