Download or read book Classical Charged Particles written by F. Rohrlich and published by World Scientific. This book was released on 2007 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally written in 1964, this famous text is a study of the classical theory of charged particles. Many applications treat electrons as point particles. At the same time, there is a widespread belief that the theory of point particles is beset with various difficulties such as an infinite electrostatic self-energy, a rather doubtful equation of motion which admits physically meaningless solutions, violation of causality and others. The classical theory of charged particles has been largely ignored and has been left in an incomplete state since the discovery of quantum mechanics. Despite the great efforts of men such as Lorentz, Abraham, Poincar, and Dirac, it is usually regarded as a ?lost cause?. But thanks to progress made just a few years ago, the author is able to resolve the various problems and to complete this unfinished theory successfully.
Download or read book New Equation of Motion for Classical Charged Particles written by T. C. Mo and published by . This book was released on 1970 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new equation of motion is proposed for classical charged particles, which is free from the well-known difficulties of Dirac's equation, is intuitively sound, and predicts reasonable radiation damping. (Author).
Download or read book Classical Charged Particles written by Fritz Rohrlich and published by CRC Press. This book was released on 2020-01-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widely-discussed in the theory of classical point charges are the difficulties of divergent self-energy, self-accelerating solutions, and pre-acceleration. This book explains the theory in the context of quantum electrodynamics, the neutral particle limit, and coherence with neighboring theories.
Download or read book Classical Charged Particles Third Edition written by Fritz Rohrlich and published by . This book was released on 2007 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Relativistic Dynamics of a Charged Sphere written by Arthur Yaghjian and published by Springer Science & Business Media. This book was released on 2010-10-19 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Electrodynamics and Classical Theory of Fields and Particles written by A. O. Barut and published by Courier Corporation. This book was released on 2012-04-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Charged Particles and their Radiation Field written by Herbert Spohn and published by Cambridge University Press. This book was released on 2023-07-31 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Classical Dynamics of Particles written by Ronald A. Mann and published by Academic Press. This book was released on 2013-10-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Dynamics of Particles: Galilean and Lorentz Relativity has been designed to serve either as an independent graduate course in dynamics or as a segment of a graduate theoretical physics course. The book begins with a general introduction and a rather extensive discussion of the special theory of relativity, including a section on tachyons. Separate chapters follow on the variational derivation of Lagrangian dynamical equations of charged particle motion and spin angular momentum; variational derivation of Noether's theorem; and canonical formalism and Dirac's extension of Hamiltonian dynamics and treatment of constraints. The ""No-Interaction Theorem"" of Wigner and Van Dam and various efforts to construct a many-particle dynamics compatible with the special theory of relativity are also discussed. The final chapter presents two applications of group theory in classical mechanics: the factorization of the dynamical matrix and the construction of a canonical formalism from a symmetry group. This text is intended for advanced undergraduate or graduate students of physics. It is assumed that the reader has had an undergraduate course in mechanics and the usual undergraduate mathematics preparation including differential equations and matrix theory. Some exposure to elementary tensors and group theory would be helpful but is not essential
Download or read book Introduction to the Classical Theory of Particles and Fields written by Boris Kosyakov and published by Springer Science & Business Media. This book was released on 2007-07-11 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.
Download or read book Classical And Quantum Dissipative Systems Second Edition written by Mohsen Razavy and published by World Scientific. This book was released on 2017-02-27 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.
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.
Download or read book Has the Last Word Been Said on Classical Electrodynamics written by Andrew Chubykalo and published by . This book was released on 2004 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical and Quantum Dissipative Systems written by Mohsen Razavy and published by Imperial College Press. This book was released on 2006-01-17 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion. It is shown, in addition to these methods, that classical dissipative forces can also be derived from solvable many-body problems. A detailed discussion of these derived forces and their dependence on dynamical variables is also presented. The second part of this book investigates the use of classical formulation in the quantization of dynamical systems under the influence of dissipative forces. The results show that, while a satisfactory solution to the problem cannot be found, different formulations represent different approximations to the complete solution of two interacting systems. The third and final part of the book focuses on the problem of dissipation in interacting quantum mechanical systems, as well as the connection of some of these models to their classical counterparts. A number of important applications, such as the theory of heavy-ion scattering and the motion of a radiating electron, are also discussed. Sample Chapter(s). Chapter 1: Introduction (87 KB). Contents: Phenomenological Equations of Motion for Dissipative Systems; Lagrangian Formulations; Hamiltonian Formulation; Hamilton-Jacobi Formulation; Motion of a Charged Particle in an External Electromagnetic Field in the Presence of Damping; Noether and Non-Noether Symmetries and Conservation Laws; Dissipative Forces Derived from Many-Body Problems; A Particle Coupled to a Field; Damped Motion of the Central Particle; Classical Microscopic Models of Dissipation and Minimal Coupling Rule; Quantization of Dissipative Systems; Quantization of Explicitly Time-Dependent Hamiltonian; Density Matrix and the Wigner Distribution Function; Path Integral Formulation of a Damped Harmonic Oscillator; Quantization of the Motion of an Infinite Chain; The Heisenberg Equations of Motion for a Particle Coupled to a Heat Bath; Quantum Mechanical Models of Dissipative Systems; More on the Concept of Optical Potential. Readership: Researchers and graduate students in applied mathematics and theoretical physics.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 1118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics of Charged Particles and their Radiation Field written by Herbert Spohn and published by Cambridge University Press. This book was released on 2004-08-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained and systematic introduction to classical electron theory and its quantization, non-relativistic quantum electrodynamics. The first half of the book covers the classical theory. It discusses the well-defined Abraham model of extended charges in interaction with the electromagnetic field, and gives a study of the effective dynamics of charges under the condition that, on the scale given by the size of the charge distribution, they are far apart and the applied potentials vary slowly. The second half covers the quantum theory, leading to a coherent presentation of non-relativistic quantum electrodynamics. Topics discussed include non-perturbative properties of the basic Hamiltonian, the structure of resonances, the relaxation to the ground state through emission of photons, the non-perturbative derivation of the g-factor of the electron and the stability of matter.
Download or read book The Adiabatic Motion of Charged Particles written by Theodore G. Northrop and published by . This book was released on 1963 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
