Relativistic Nonlinear Electrodynamics

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Relativistic Nonlinear Electrodynamics

Author : Hamlet Karo Avetissian
Publisher : Springer
ISBN 13 : 3319263846
Total Pages : 514 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Relativistic Nonlinear Electrodynamics by : Hamlet Karo Avetissian

Download or read book Relativistic Nonlinear Electrodynamics written by Hamlet Karo Avetissian and published by Springer. This book was released on 2015-11-20 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0387300708
Total Pages : 341 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Relativistic Nonlinear Electrodynamics by : Hamlet Karo Avetissian

Download or read book Relativistic Nonlinear Electrodynamics written by Hamlet Karo Avetissian and published by Springer Science & Business Media. This book was released on 2007-11-24 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Electrodynamics of Nonlinear Media

Author : F. Hartemann
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (213 download)

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Book Synopsis Relativistic Electrodynamics of Nonlinear Media by : F. Hartemann

Download or read book Relativistic Electrodynamics of Nonlinear Media written by F. Hartemann and published by . This book was released on 1989 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relativistic Electrodynamics and Differential Geometry

Author : Stephen Parrott
Publisher : Springer Science & Business Media
ISBN 13 : 1461246849
Total Pages : 318 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Relativistic Electrodynamics and Differential Geometry by : Stephen Parrott

Download or read book Relativistic Electrodynamics and Differential Geometry written by Stephen Parrott and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a short but complete exposition of the logical structure of classical relativistic electrodynamics written in the language and spirit of coordinate-free differential geometry. The intended audience is primarily mathematicians who want a bare-bones account of the foundations of electrodynamics written in language with which they are familiar and secondarily physicists who may be curious how their old friend looks in the new clothes of the differential-geometric viewpoint which in recent years has become an important language and tool for theoretical physics. This work is not intended to be a textbook in electrodynamics in the usual sense; in particular no applications are treated, and the focus is exclusively the equations of motion of charged particles. Rather, it is hoped that it may serve as a bridge between mathemat ics and physics. Many non-physicists are surprised to learn that the correct equation to describe the motion of a classical charged particle is still a matter of some controversy. The most mentioned candidate is the Lorentz-Dirac equation t . However, it is experimentally unverified, is known to have no physically reasonable solutions in certain circumstances, and its usual derivations raise serious foundational issues. Such difficulties are not extensively discussed in most electrodynamics texts, which quite naturally are oriented toward applying the well-verified part of the subject to con crete problems.

Core Electrodynamics

Author : Sandra Chapman
Publisher : Springer Nature
ISBN 13 : 3030668185
Total Pages : 138 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Core Electrodynamics by : Sandra Chapman

Download or read book Core Electrodynamics written by Sandra Chapman and published by Springer Nature. This book was released on 2021-02-02 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Non-Linear Theory and Fluctuations

Author : A. I. Akhiezer
Publisher : Elsevier
ISBN 13 : 1483148076
Total Pages : 320 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Non-Linear Theory and Fluctuations by : A. I. Akhiezer

Download or read book Non-Linear Theory and Fluctuations written by A. I. Akhiezer and published by Elsevier. This book was released on 2017-03-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Relativistic Dynamics of the Combined Particle Field System in Nonlinear Renormalized Electrodynamics

Author : Hans-Peter Gittel
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (313 download)

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Book Synopsis The Relativistic Dynamics of the Combined Particle Field System in Nonlinear Renormalized Electrodynamics by : Hans-Peter Gittel

Download or read book The Relativistic Dynamics of the Combined Particle Field System in Nonlinear Renormalized Electrodynamics written by Hans-Peter Gittel and published by . This book was released on 1997 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Relativistic Electrodynamics

Author : Toshiyuki Shiozawa
Publisher : Springer Science & Business Media
ISBN 13 : 3662062615
Total Pages : 238 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Classical Relativistic Electrodynamics by : Toshiyuki Shiozawa

Download or read book Classical Relativistic Electrodynamics written by Toshiyuki Shiozawa and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced course of classical electrodynamics with application to the generation of high-power coherent radiation in the microwave to optical-wave regions. Specifically, it provides readers with the basics of advanced electromagnetic theory and relativistic electrodynamics, guiding them step by step through the theory of free-electron lasers. The theoretical treatment throughout this book is fully developed by means of the usual three-dimensional vector calculus.

Laser Physics at Relativistic Intensities

Author : A.V. Borovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3662052423
Total Pages : 226 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Laser Physics at Relativistic Intensities by : A.V. Borovsky

Download or read book Laser Physics at Relativistic Intensities written by A.V. Borovsky and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Electrodynamics of Strong Fields

Author : Walter Greiner
Publisher : Springer Science & Business Media
ISBN 13 : 364282272X
Total Pages : 605 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Quantum Electrodynamics of Strong Fields by : Walter Greiner

Download or read book Quantum Electrodynamics of Strong Fields written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Special Relativity, Electrodynamics, and General Relativity

Author : John B. Kogut
Publisher : Academic Press
ISBN 13 : 0128137215
Total Pages : 456 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Special Relativity, Electrodynamics, and General Relativity by : John B. Kogut

Download or read book Special Relativity, Electrodynamics, and General Relativity written by John B. Kogut and published by Academic Press. This book was released on 2018-01-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 D. Yaghjian
Publisher : Springer Nature
ISBN 13 : 3031060679
Total Pages : 212 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Relativistic Dynamics of a Charged Sphere by : Arthur D. Yaghjian

Download or read book Relativistic Dynamics of a Charged Sphere written by Arthur D. Yaghjian and published by Springer Nature. This book was released on 2022-09-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to expanding and clarifying a number of sections of the first edition, it generalizes the analysis that eliminates the noncausal pre-acceleration so that it applies to removing any pre-deceleration as well. It also introduces a robust power series solution to the equation of motion that produces an extremely accurate solution to problems such as the motion of electrons in uniform magnetic fields.

Plasma Electrodynamics

Author : A. I. Akhiezer
Publisher : Elsevier
ISBN 13 : 1483152154
Total Pages : 433 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Plasma Electrodynamics by : A. I. Akhiezer

Download or read book Plasma Electrodynamics written by A. I. Akhiezer and published by Elsevier. This book was released on 2017-03-22 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasma Electrodynamics, Volume 1: Linear Theory is a seven-chapter book that begins with a description of the general methods of describing plasma, particularly, kinetic and hydrodynamic methods. Chapter 2 discusses the linear theory of magneto-hydrodynamic waves. Chapter 3 describes the non-linear magneto-hydrodynamic waves, both simple waves and shock waves. Subsequent chapters explain the high-frequency oscillations in an unmagnetized plasma; oscillations of a plasma in a magnetic field; and interaction between charged particle beams and a plasma. The last chapter details the oscillations of a partially ionized plasma.

Modern Nonlinear Optics

Author : Myron W. Evans
Publisher : John Wiley & Sons
ISBN 13 : 0471466115
Total Pages : 804 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Modern Nonlinear Optics by : Myron W. Evans

Download or read book Modern Nonlinear Optics written by Myron W. Evans and published by John Wiley & Sons. This book was released on 2004-08-18 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant advances have occurred in the field since the previous edition, including advances in light squeezing, single photon optics, phase conjugation, and laser technology. The laser is essentially responsible for nonlinear effects and is extensively used in all branches of science, industry, and medicine.

Nonlinear Electrodynamics in Biological Systems

Author : W. Ross Adey
Publisher : Springer
ISBN 13 :
Total Pages : 626 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Electrodynamics in Biological Systems by : W. Ross Adey

Download or read book Nonlinear Electrodynamics in Biological Systems written by W. Ross Adey and published by Springer. This book was released on 1984-10 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past half century has seen an extraordinary growth in the fields of cellular and molecular biology. From simple morphologi cal concepts of cells as the essential units of living matter there has been an ever-sharper focus on functional organization of living systems, with emphasis on molecular dynamics. Thus, life forms have come to be defined increasingly in terms of metabolism, growth, reproduction and responses to environmental perturbations. Since these properties occur in varying degrees in systems below the level of cellular organization, there has been a blurring of older models that restricted the concepts of life to cellular systems. At the same time, a search has begun for elemental as pects of molecular and atomic behavior that might better define properties common to all life forms. This search has led to an examination of nonlinear behavior in biological macromolecules, whether in response to electrical or chemical stimulation, for example, or as a means of signaling along a molecular chain, or as a means of energy transfer. Experimental knowledge in this area has grown rapidly in the past decade, and in some respects has outstripped theoretical models adequate to ex plain these new observations. Nevertheless, it can be claimed that there is now an impressive body of experiments implicating non linear, nonequilibrium processes as fundamental steps in sequential operations of biological systems.

Principles of Electrodynamics and Relativity / Prinzipien der Elektrodynamik und Relativitätstheorie

Author : S. Flügge
Publisher : Springer Science & Business Media
ISBN 13 : 3642459730
Total Pages : 295 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Principles of Electrodynamics and Relativity / Prinzipien der Elektrodynamik und Relativitätstheorie by : S. Flügge

Download or read book Principles of Electrodynamics and Relativity / Prinzipien der Elektrodynamik und Relativitätstheorie written by S. Flügge and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: will be "asymptotically integrable", that is to say, if we displace a vector parallel to itself along a closed curve whose total length is proportional to r, then, as we remove the curve to infinity, the change of the vector that results from the circuit about the curve will tend to zero. In the presence of gravitational radiation the total energy will not be con served, because the waves carry some energy with them; analogous statements apply to the linear momentum, etc. But that is not all; if there is no coordinate 2 system in which the field strengths drop off as 1/r , then there is no possibility to generate out of one vector" at infinity" a whole field of parallel vectors" at infinity". Thus we are unable in the presence of radiation to define, even at infinity, a "rigid displacement", the type of coordinate transformation that is presumably generated by the energy integral. Under these circumstances it is very difficult to see how one can define the "free vector" energy -linear momen tum in a convincing manner. These ambiguities of course do not imply that general relativity lacks quan tities that obey equations of continuity; rather, general relativity suffers in this respect from an embarras de richesse. There is an infinity of such quantities, and our difficulty is to single out a subset and to present these as the "natural" l expressions for energy, linear momentum, etc.

Solved Problems in Classical Electrodynamics and Theory of Relativity

Author : Daniel Radu
Publisher : CRC Press
ISBN 13 : 1000997529
Total Pages : 540 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Solved Problems in Classical Electrodynamics and Theory of Relativity by : Daniel Radu

Download or read book Solved Problems in Classical Electrodynamics and Theory of Relativity written by Daniel Radu and published by CRC Press. This book was released on 2023-11-23 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for undergraduate and graduate students in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. It is an excellent study tool for those students who would like to work independently on more electrodynamics problems in order to deepen their understanding and problem solving skills. The book discusses main concepts and techniques related to Maxwell's equations, potentials and fields (including Liénard-Wiechert potentials), electromagnetic waves, and the interaction and dynamics of charged point particles. It also includes content on magnetohydrodynamics and plasma, radiation and antennas, special relativity, relativistic kinematics, relativistic dynamics and relativistic-covariant dynamics and general theory of relativity. It contains a wide range of problems, ranging from electrostatics and magnetostatics to the study of the stability of dynamical systems, field theories and black hole orbiting. The book even contains interdisciplinary problems from the fields of electronics, elementary particle theory, antenna design. Detailed, step-by step calculations are presented, meeting the need for a thorough understanding of the reasoning and steps of the calculations by all students, regardless of their level of training. Additionally, numerical solutions are also proposed and accompanied by adjacent graphical representations and even multiple methods of solving the same problem. It is structured in a coherent and unified way, having a deep didactic character, being thus oriented towards a university environment, where the transmission of knowledge in a logical, unified and coherent way is essential. It teaches students how to think about and how to approach solving electrodynamics problems. - Contains a wide range of problems and applications from the fields of electrodynamics and the theory of special relativity. - Presents numerical solutions to problems involving nonlinearities. - Details command lines specific to Mathematica software dedicated to both analytical and numerical calculations, which allows readers to obtain the numerical solutions as well as the related graphical representations.