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Classical And Quantum Electrodynamics And The B(3) Field

Classical And Quantum Electrodynamics And The B(3) Field
Author: Lawrence Barr Crowell
Publisher: World Scientific
Total Pages: 473
Release: 2001-05-11
Genre: Science
ISBN: 9814493910

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It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field.


Foundations of Classical and Quantum Electrodynamics

Foundations of Classical and Quantum Electrodynamics
Author: Igor N. Toptygin
Publisher: John Wiley & Sons
Total Pages: 739
Release: 2013-12-30
Genre: Science
ISBN: 3527677518

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This advanced textbook covers many fundamental, traditional and new branches of electrodynamics, as well as the related fields of special relativity, quantum mechanics and quantum electrodynamics. The book introduces the material at different levels, oriented towards 3rd-4th year bachelor, master, and PhD students. This is so as to describe the whole complexity of physical phenomena, instead of a mosaic of disconnected data. The required mathematical background is collated in Chapter 1, while the necessary physical background is included in the main text of the corresponding chapters and also given in appendices. The content is based on teaching material tested on students over many years, and their training to apply general theory for solving scientific and engineering problems. To this aim, the book contains approximately 800 examples and problems, many of which are described in detail. Some of these problems are designed for students to work on their own with only the answers and descriptions of results, and may be solved selectively. The examples are key ingredients to the theoretical course; the user should study all of them while reading the corresponding chapters. Equally suitable as a reference for researchers specialized in science and engineering.


Electrodynamics and Classical Theory of Fields and Particles

Electrodynamics and Classical Theory of Fields and Particles
Author: A. O. Barut
Publisher: Courier Corporation
Total Pages: 256
Release: 2012-04-30
Genre: Science
ISBN: 0486158713

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Comprehensive graduate-level text by a distinguished theoretical physicist reveals the classical underpinnings of modern quantum field theory. Topics include space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and more. 1964 edition.


Principles of Quantum Electrodynamics

Principles of Quantum Electrodynamics
Author: Walter E. Thirring
Publisher: Academic Press
Total Pages: 251
Release: 2013-10-22
Genre: Science
ISBN: 1483275868

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Principles of Quantum Electrodynamics concentrates on one of the best understood parts of quantum field theory, quantum electrodynamics. It emphasizes the physical basis of the theory and avoids purely mathematical details. For this reason, the book should not be taken as a handbook of field theory, but rather as a compendium of the most characteristic and interesting results which have been obtained up to now. The book is organized into four parts. Part I develops the general mathematical framework, covering units and orders of magnitude, classical electrodynamics, and the general formalism of the quantum theory of fields. Part II deals with free fields. It examines some problems concerning the physical interpretation of the theory and asks whether the quantization procedure adopted actually introduces quantum characteristics and, if so, how these are expressed by the formalism. It also investigates the expectation values of more complicated expressions. Part III examines the effects of a mechanism which produces the particles under consideration; i.e., an external source of the fields. Part IV deals with quantum fields in interaction. The focus is on the case of a quantized electromagnetic field, the source of which is a quantized Dirac field.


Classical Electrodynamics

Classical Electrodynamics
Author: Julian Schwinger
Publisher: CRC Press
Total Pages: 612
Release: 2019-05-20
Genre: Science
ISBN: 0429983174

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Classical Electrodynamics captures Schwinger's inimitable lecturing style, in which everything flows inexorably from what has gone before. Novel elements of the approach include the immediate inference of Maxwell's equations from Coulomb's law and (Galilean) relativity, the use of action and stationary principles, the central role of Green's functions both in statics and dynamics, and, throughout, the integration of mathematics and physics. Thus, physical problems in electrostatics are used to develop the properties of Bessel functions and spherical harmonics. The latter portion of the book is devoted to radiation, with rather complete treatments of synchrotron radiation and diffraction, and the formulation of the mode decomposition for waveguides and scattering. Consequently, the book provides the student with a thorough grounding in electrodynamics in particular, and in classical field theory in general, subjects with enormous practical applications, and which are essential prerequisites for the study of quantum field theory.An essential resource for both physicists and their students, the book includes a ?Reader's Guide,? which describes the major themes in each chapter, suggests a possible path through the book, and identifies topics for inclusion in, and exclusion from, a given course, depending on the instructor's preference. Carefully constructed problems complement the material of the text, and introduce new topics. The book should be of great value to all physicists, from first-year graduate students to senior researchers, and to all those interested in electrodynamics, field theory, and mathematical physics.The text for the graduate classical electrodynamics course was left unfinished upon Julian Schwinger's death in 1994, but was completed by his coauthors, who have brilliantly recreated the excitement of Schwinger's novel approach.


Introduction to Electrodynamics and Radiation

Introduction to Electrodynamics and Radiation
Author: Walter T. Jr. Grandy
Publisher: Elsevier
Total Pages: 301
Release: 2012-12-02
Genre: Science
ISBN: 0323156959

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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.


Condensed Matter Field Theory

Condensed Matter Field Theory
Author: Alexander Altland
Publisher: Cambridge University Press
Total Pages: 785
Release: 2010-03-11
Genre: Science
ISBN: 0521769752

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This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.


Quantum Electrodynamics of Strong Fields

Quantum Electrodynamics of Strong Fields
Author: Walter Greiner
Publisher: Springer Science & Business Media
Total Pages: 605
Release: 2012-12-06
Genre: Science
ISBN: 364282272X

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The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields.


Classical Electrodynamics

Classical Electrodynamics
Author: Walter Greiner
Publisher: Springer Science & Business Media
Total Pages: 561
Release: 2012-12-06
Genre: Science
ISBN: 1461205875

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This reference and workbook provides not only a complete survey of classical electrodynamics, but also an enormous number of worked examples and problems to show the reader how to apply abstract principles to realistic problems. The book will prove useful to graduate students in electrodynamics needing a practical and comprehensive treatment of the subject.