Relativistic Dynamics Of A Charged Sphere
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Relativistic Dynamics Of A Charged Sphere
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Author : Arthur Yaghjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-19
Relativistic Dynamics Of A Charged Sphere written by Arthur Yaghjian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with Science categories.
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.
Relativistic Dynamics Of A Charged Sphere
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Author : Arthur D. Yaghjian
language : en
Publisher: Springer Nature
Release Date : 2022-09-29
Relativistic Dynamics Of A Charged Sphere written by Arthur D. Yaghjian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Science categories.
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.
Relativistic Dynamics Of A Charged Sphere
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Author : Arthur D. Yaghjian
language : en
Publisher: Springer Science & Business Media
Release Date : 1992
Relativistic Dynamics Of A Charged Sphere written by Arthur D. Yaghjian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
"This is a remarkable book. [...] A fresh and novel approach to old problems and to their solution." –Fritz Rohrlich, Emeritus Professor of Physics, Syracuse University This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz more than 100 years ago. The original derivations of Lorentz, Abraham, Poincaré and Schott are modified and generalized for the charged insulator model of the electron to obtain an equation of motion consistent with causal solutions to the Maxwell-Lorentz equations and the equations of special relativity. The solutions to the resulting equation of motion are free of pre-acceleration and runaway behavior. Binding forces and a total stress–momentum–energy tensor are derived for the charged insulator model. General expressions for synchrotron radiation emerge in a form convenient for determining the motion of the electron. Appendices provide simplified derivations of the self-force and power at arbitrary velocity. In this Second Edition, the method used for eliminating the noncausal pre-acceleration from the equation of motion has been generalized to eliminate pre-deceleration as well. The generalized method is applied to obtain the causal solution to the equation of motion of a charge accelerating in a uniform electric field for a finite time interval. Alternative derivations of the Landau-Lifshitz approximation to the Lorentz-Abraham-Dirac equation of motion are also given, along with Spohn’s elegant solution of this approximate equation for a charge moving in a uniform magnetic field. The book is a valuable resource for students and researchers in physics, engineering and the history of science.
Relativistic Dynamics Of A Charged Sphere
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Author : Arthur Yaghjian
language : en
Publisher: Springer
Release Date : 2013-04-03
Relativistic Dynamics Of A Charged Sphere written by Arthur Yaghjian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Science categories.
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.
Calculus And Mechanics On Two Point Homogenous Riemannian Spaces
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Author : Alexey V. Shchepetilov
language : en
Publisher: Springer
Release Date : 2006-09-04
Calculus And Mechanics On Two Point Homogenous Riemannian Spaces written by Alexey V. Shchepetilov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-04 with Science categories.
Mathematics develops both due to demands of other sciences and due to its internal logic. The latter fact explains the attention of mathematicians to many problems, which are in close connection with basic mathematical notions, even if these problems have no direct practical applications. It is well known that the space of constant curvature is one of the basic geometry notion [208], which induced the wide ?eld for investigations. As a result there were found numerous connections of constant curvature spaces with other branches of mathematics, for example, with integrable partial dif- 1 ferential equations [36, 153, 189] and with integrable Hamiltonian systems [141]. Geodesic ?ows on compact surfaces of a constant negative curvature (with the genus 2) generate many test examples for ergodic theory (see also 3 [183] and the bibliography therein). The hyperbolic space H (R) is the space of velocities in special relativity (see Sect. 7.4.1) and also arises as space-like sections in some models of general relativity.
High Field Electrodynamics
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Author : Frederic V. Hartemann
language : en
Publisher: CRC Press
Release Date : 2001-12-27
High Field Electrodynamics written by Frederic V. Hartemann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-27 with Science categories.
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
Supersymmetric Mechanics Vol 2
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Author : Stefano Bellucci
language : en
Publisher: Springer
Release Date : 2006-09-11
Supersymmetric Mechanics Vol 2 written by Stefano Bellucci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-11 with Science categories.
This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. This volume supplies a pedagogical introduction, at the non-expert level, to the attractor mechanism in space-time singularities. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at length.
Supersymmetric Mechanics Vol 1
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Author : Stefano Bellucci
language : en
Publisher: Springer
Release Date : 2006-08-31
Supersymmetric Mechanics Vol 1 written by Stefano Bellucci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-31 with Science categories.
This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The selected topics include supersymmetry and supergravity, the attractor mechanism, black holes, fluxes, noncommutative mechanics, super-Hamiltonian formalism and matrix models. Incorporates in extensive write-ups the results of animated discussion sessions which followed the individual lectures.
Electromagnetic And Optical Pulse Propagation
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Author : Kurt E. Oughstun
language : en
Publisher: Springer
Release Date : 2019-07-17
Electromagnetic And Optical Pulse Propagation written by Kurt E. Oughstun and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-17 with Science categories.
In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive absorptive media. This expanded, updated, and reorganized new edition presents a rigorous development of both time- and frequency-domain electromagnetics, from classical theory to current topics in applied research on temporally pulsed wave fields in dielectric, conducting, and semiconducting materials. With meaningful exercises throughout, it is suitable as a graduate textbook in electromagnetic wave theory and will be of use to researchers as a resource on electromagnetic radiation and wave propagation theory with applications to radar, imaging, communications, and safety issues. Volume 1 develops the fundamental Maxwell-Lorentz theory of microscopic electromagnetics and its relationship to macroscopic electromagnetics in complex media with particularemphasis given to temporally dispersive materials, supplemented with several appendices on mathematical methods. The second edition includes new material on conjugate electromagnetic fields, time-reversal invariance, the four-potential and Lorentz invariance, anisotropic and spatially dispersive media, double-negative metamaterials, and generalized Fresnel reflection and refraction coefficients for complex media. The relationship between both the mathematical and physical interpretation of classical electromagnetic field theory with the special theory of relativity is emphasized throughout the volume. Volume 2 covers temporal pulse dynamics in dispersive attenuative media, with asymptotic analysis at the forefront.
Advances In Doublet Mechanics
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Author : Mauro Ferrari
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Advances In Doublet Mechanics written by Mauro Ferrari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
The recently proposed, fully multi-scale theory of doublet mechanics offers unprecented opportunities to reconcile the discrete and continuum representations of solids while maintaining a simple analytical format and full compatibility with lattice dynamics and continuum mechanics. In this monograph, a self-contained account of the state of the art in doublet mechanics is presented. Novel results in the elastodynamics of microstructured media are reported, including the identification of a new class of dispersive surface waves, and the presentation of methods for the experimental determination of the essential microstructural parameters. The relationships between doublet mechanics, lattice dynamics, and continuum theories are examined, leading to the identification of the subject areas in which the use of doublet mechanics is most advantageous. These areas include the analysis of domains as diverse as micro-electro-mechanical systems (MEMS), granular and particulate media, nanotubes, and peptide arrays.