Relativistic Nonlinear Electrodynamics

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Relativistic Nonlinear Electrodynamics

Author : Hamlet Karo Avetissian
Publisher : Springer
Page : 506 pages
File Size : 44,9 Mb
Release : 2015-11-20
Category : Science
ISBN : 9783319263847

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Relativistic Nonlinear Electrodynamics by Hamlet Karo Avetissian Pdf

This revised edition of the author’s classic 2006 text offers a comprehensively updated review of the field of relativistic nonlinear electrodynamics. It explores the interaction of strong and super-strong electromagnetic/laser radiation with the electromagnetic quantum vacuum and diverse types of matter – including free charged particles and antiparticles, acceleration beams, plasma and plasmous media. The appearance of laser sources of relativistic and ultra-relativistic intensities over the last decade has stimulated investigation of a large class of processes under such super-strong radiation fields. Revisions for this second edition reflect these developments and the book includes new chapters on Bremsstrahlung and nonlinear absorption of superintense radiation in plasmas, the nonlinear interaction of relativistic atoms with intense laser radiation, nonlinear interaction of strong laser radiation with Graphene, and relativistic nonlinear phenomena in solid-plasma targets under supershort laser pulses of ultrarelativistic intensities. The only book devoted to the subject of relativistic nonlinear electrodynamics, this second edition will be a valuable resource for graduate students and researchers involved in any aspect of the field, including those working with intense x-ray – gamma-ray lasers, the new generation of small size laser-plasma accelerators of superhigh energies and high-brightness particle beams.

Relativistic Nonlinear Electrodynamics

Author : Hamlet Karo Avetissian
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 49,8 Mb
Release : 2007-11-24
Category : Science
ISBN : 9780387300702

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Relativistic Nonlinear Electrodynamics by Hamlet Karo Avetissian Pdf

This is the first book on the subject matter of relativistic nonlinear electrodynamics The book presents new results on various nonlinear electromagnetic phenomena The topics discussed in the book will be the center of fundamental research in the next decade

Relativistic Classical Mechanics and Electrodynamics

Author : Martin Land,Lawrence P. Horwitz
Publisher : Morgan & Claypool Publishers
Page : 138 pages
File Size : 53,9 Mb
Release : 2019-12-05
Category : Science
ISBN : 9781681737072

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Relativistic Classical Mechanics and Electrodynamics by Martin Land,Lawrence P. Horwitz Pdf

This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter τ to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the τ-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five τ-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as τ advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at τ to an infinitesimally close 4D block universe defined at τ+dτ. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.

Lagrangian Interaction

Author : Noel Doughty
Publisher : CRC Press
Page : 436 pages
File Size : 52,7 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429973161

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Lagrangian Interaction by Noel Doughty Pdf

This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.

Laser Physics at Relativistic Intensities

Author : A.V. Borovsky,A.L. Galkin,O.B. Shiryaev,T. Auguste
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 54,8 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662052426

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Laser Physics at Relativistic Intensities by A.V. Borovsky,A.L. Galkin,O.B. Shiryaev,T. Auguste Pdf

For the first time in a book, this monograph describes relativistic and charge-displacement self-channelling, which is the major finding in the physics of superintense laser beams. It also presents general nonlinear models of lasers - plasma interactions specifically in the case of extremely high intensities.

Core Electrodynamics

Author : Sandra Chapman
Publisher : Springer Nature
Page : 138 pages
File Size : 52,9 Mb
Release : 2021-02-02
Category : Science
ISBN : 9783030668181

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Core Electrodynamics by Sandra Chapman Pdf

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.

Practical Quantum Electrodynamics

Author : Douglas M. Gingrich
Publisher : CRC Press
Page : 355 pages
File Size : 43,8 Mb
Release : 2006-05-10
Category : Science
ISBN : 9781584885429

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Practical Quantum Electrodynamics by Douglas M. Gingrich Pdf

Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.

Non-Linear Theory and Fluctuations

Author : A. I. Akhiezer,I. A. Akhiezer,R. V. Polovin
Publisher : Elsevier
Page : 320 pages
File Size : 43,7 Mb
Release : 2017-03-22
Category : Science
ISBN : 9781483148076

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Non-Linear Theory and Fluctuations by A. I. Akhiezer,I. A. Akhiezer,R. V. Polovin Pdf

Plasma Electrodynamics, Volume 2: Non-Linear Theory and Fluctuations deals with the theory of nonlinear waves in a collisionless plasma, including the quasilinear theory, the theory of plasma turbulence, and the theory of electromagnetic fluctuations in a plasma. Topics covered range from nonlinear high-frequency waves in a cold plasma to the theory of plasma oscillations in the quasilinear approximation. Nonlinear wave-particle interactions are also discussed, along with scattering and transformation of waves in a plasma. Comprised of six chapters, this volume begins with a study of nonlinear waves in a collisionless plasma, focusing on nonlinear high-frequency waves in a cold plasma; Langmuir waves in a non-relativistic plasma; and longitudinal, transverse, and coupled longitudinal-transverse waves in a relativistic plasma. After expounding on the quasilinear theory, which describes the effects of the first approximation in terms of the plasma wave energy, the nonlinear interaction of waves and particles is considered. The last three chapters explore the theory of electromagnetic fluctuations in a plasma; the theory of scattering processes and the transformation of waves in a plasma; and the scattering of charged particles in a plasma. The polarization energy losses when charged particles move in a plasma are calculated. This book will be of interest to physicists.

Introduction to Electrodynamics and Radiation

Author : Walter T. Jr. Grandy
Publisher : Elsevier
Page : 300 pages
File Size : 49,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323156950

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Introduction to Electrodynamics and Radiation by Walter T. Jr. Grandy Pdf

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.

Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski

Author : Hugo Garc¡a-Compe n,Bogdan Mielnik,Merced Montesinos
Publisher : World Scientific
Page : 528 pages
File Size : 49,5 Mb
Release : 2006
Category : Science
ISBN : 9789812700476

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Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski by Hugo Garc¡a-Compe n,Bogdan Mielnik,Merced Montesinos Pdf

One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Electrodynamics and Classical Theory of Fields and Particles

Author : A. O. Barut
Publisher : Courier Corporation
Page : 256 pages
File Size : 42,8 Mb
Release : 2012-04-30
Category : Science
ISBN : 9780486158716

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Electrodynamics and Classical Theory of Fields and Particles by A. O. Barut Pdf

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.

Gyros, Clocks, Interferometers...: Testing Relativistic Gravity in Space

Author : C. Lämmerzahl,C.W.F. Everitt,F.W. Hehl
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 43,7 Mb
Release : 2007-09-04
Category : Science
ISBN : 9783540409885

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Gyros, Clocks, Interferometers...: Testing Relativistic Gravity in Space by C. Lämmerzahl,C.W.F. Everitt,F.W. Hehl Pdf

Many new tests of gravity and, in particular, of Einstein's general relativity theory will be carried out in the near future: The Lense--Thirring effect and the equivalence principle will be tested in space; moreover, gravitational waves will be detected, and new atomic interferometers and clocks will be built for measurements in gravitational and inertial fields. New high-precision devices have made these experiments feasible. They will contribute to a better understanding of gravitational physics. Both experimental developments and the theoretical concepts are collected in this volume. Exhaustive reviews give an overall insight into the subject of experimental gravitation.

Special Relativity, Electrodynamics, and General Relativity

Author : John B. Kogut
Publisher : Academic Press
Page : 454 pages
File Size : 55,9 Mb
Release : 2018-01-09
Category : Science
ISBN : 9780128137215

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Special Relativity, Electrodynamics, and General Relativity by John B. Kogut Pdf

Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Fully revised and expanded second edition with improved figures Enlarged discussion of dynamics and the relativistic version of Newton’s second law Resolves the twin paradox from the principles of special and general relativity Includes new chapters which derive magnetism from relativity and electrostatics Derives Maxwell’s equations from Gauss’ law and the principles of special relativity Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO

Relativistic Dynamics of a Charged Sphere

Author : Arthur Yaghjian
Publisher : Springer Science & Business Media
Page : 115 pages
File Size : 48,7 Mb
Release : 2010-10-19
Category : Science
ISBN : 9780387739670

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Relativistic Dynamics of a Charged Sphere by Arthur Yaghjian Pdf

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.

Nonlinear Gravitodynamics

Author : Remo Ruffini,Costantino Sigismondi
Publisher : World Scientific
Page : 526 pages
File Size : 43,8 Mb
Release : 2003
Category : Science
ISBN : 9812564810

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Nonlinear Gravitodynamics by Remo Ruffini,Costantino Sigismondi Pdf

This book gives a detailed, up-to-date account of theLenseOCoThirring effect and its implications for physics andastrophysics. Starting from a profound intuition of Lense and Thirringin 1918, based on a simple solution to the linearized Einstein fieldequations, this has emerged in the past four decades as a phenomenonof extraordinary importance in cosmology, radio jets in quasars, andthe physics of neutron stars and black holes, besides leading to someof the most sophisticated experiments ever performed in the spacesurrounding our planet."