Relativistic Classical Mechanics And Electrodynamics

Author : Martin Land,Lawrence P. Horwitz
Publisher : Springer Nature
Page : 124 pages
File Size : 42,6 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031020797

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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 to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the -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 -dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as 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 to an infinitesimally close 4D block universe defined at +. 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.

Author : Jon Magne Leinaas
Publisher : World Scientific Publishing Company
Page : 364 pages
File Size : 47,6 Mb
Release : 2018-12-10
Category : Science
ISBN : 9789813279384

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Classical Mechanics and Electrodynamics by Jon Magne Leinaas Pdf

The book gives a general introduction to classical theoretical physics, in the fields of mechanics, relativity and electromagnetism. It is analytical in approach and detailed in the derivations of physical consequences from the fundamental principles in each of the fields. The book is aimed at physics students in the last year of their undergraduate or first year of their graduate studies. The text is illustrated with many figures, most of these in color. There are many useful examples and exercises which complement the derivations in the text.

Author : Toshiyuki Shiozawa
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 51,9 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662062616

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Classical Relativistic Electrodynamics by Toshiyuki Shiozawa Pdf

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.

Author : K. K. Likharev
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 2018-06-11
Category : Science
ISBN : 0750314052

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Classical Electrodynamics by K. K. Likharev Pdf

Classical Electrodynamics: Lecture notes is intended to be the basis for a two-semester graduate-level course on electricity and magnetism, including not only the interaction and dynamics charged point particles, but also properties of dielectric, conducting, and magnetic media. The course also covers special relativity, including its kinematics and particle-dynamics aspects, and electromagnetic radiation by relativistic particles.

Author : Leinaas Jon Magne
Publisher : World Scientific
Page : 136 pages
File Size : 47,9 Mb
Release : 2019-04-08
Category : Science
ISBN : 9789811200724

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Solution Manual For Classical Mechanics And Electrodynamics by Leinaas Jon Magne Pdf

As the essential companion book to Classical Mechanics and Electrodynamics (World Scientific, 2018), a textbook which aims to provide a general introduction to classical theoretical physics, in the fields of mechanics, relativity and electromagnetism, this book provides worked solutions to the exercises in Classical Mechanics and Electrodynamics.Detailed explanations are laid out to aid the reader in advancing their understanding of the concepts and applications expounded in the textbook.

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 51,7 Mb
Release : 2006-04-18
Category : Science
ISBN : 9780387218519

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Classical Mechanics by Walter Greiner Pdf

Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.

Author : Jon Magne Leinaas
Publisher : Unknown
Page : 363 pages
File Size : 45,9 Mb
Release : 2018
Category : Electronic
ISBN : 9813279370

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Classical Mechanics and Electrodynamics by Jon Magne Leinaas Pdf

Author : Sidney B. Cahn,Boris E. Nadgorny
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 46,8 Mb
Release : 2007-05-08
Category : Science
ISBN : 9780306484001

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A Guide to Physics Problems by Sidney B. Cahn,Boris E. Nadgorny Pdf

In order to equip hopeful graduate students with the knowledge necessary to pass the qualifying examination, the authors have assembled and solved standard and original problems from major American universities – Boston University, University of Chicago, University of Colorado at Boulder, Columbia, University of Maryland, University of Michigan, Michigan State, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, University of Wisconsin at Madison – and Moscow Institute of Physics and Technology. A wide range of material is covered and comparisons are made between similar problems of different schools to provide the student with enough information to feel comfortable and confident at the exam. Guide to Physics Problems is published in two volumes: this book, Part 1, covers Mechanics, Relativity and Electrodynamics; Part 2 covers Thermodynamics, Statistical Mechanics and Quantum Mechanics. Praise for A Guide to Physics Problems: Part 1: Mechanics, Relativity, and Electrodynamics: "Sidney Cahn and Boris Nadgorny have energetically collected and presented solutions to about 140 problems from the exams at many universities in the United States and one university in Russia, the Moscow Institute of Physics and Technology. Some of the problems are quite easy, others are quite tough; some are routine, others ingenious." (From the Foreword by C. N. Yang, Nobelist in Physics, 1957) "Generations of graduate students will be grateful for its existence as they prepare for this major hurdle in their careers." (R. Shankar, Yale University) "The publication of the volume should be of great help to future candidates who must pass this type of exam." (J. Robert Schrieffer, Nobelist in Physics, 1972) "I was positively impressed ... The book will be useful to students who are studying for their examinations and to faculty who are searching for appropriate problems." (M. L. Cohen, University of California at Berkeley) "If a student understands how to solve these problems, they have gone a long way toward mastering the subject matter." (Martin Olsson, University of Wisconsin at Madison) "This book will become a necessary study guide for graduate students while they prepare for their Ph.D. examination. It will become equally useful for the faculty who write the questions." (G. D. Mahan, University of Tennessee at Knoxville)

Author : Gennady Stupakov,Gregory Penn
Publisher : Springer
Page : 280 pages
File Size : 53,8 Mb
Release : 2018-05-23
Category : Science
ISBN : 9783319901886

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Classical Mechanics and Electromagnetism in Accelerator Physics by Gennady Stupakov,Gregory Penn Pdf

This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator. From this base, we explore the impact of field errors and nonlinear resonances. This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics. Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe. Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed. The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect. Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading. This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation.

Author : Harald J W Muller-kirsten
Publisher : World Scientific
Page : 588 pages
File Size : 41,9 Mb
Release : 2024-01-30
Category : Science
ISBN : 9789811287138

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Classical Mechanics And Relativity (Second Edition) by Harald J W Muller-kirsten Pdf

The text covers the entire domain of basic classical mechanics and relativity theory (special and general) and has been revised mainly for the purpose of adding exercises without worked solutions that were missing in the first edition. To retain the format of a readable, yet advanced introductory text that can serve as the companion text for a course in mechanics, the more than 100 new exercises on diverse topics are of moderate range; answers are given and occasionally hints are provided. As before, the text aims to cover the entire spectrum of theoretical mechanics from Newton to Einstein. The reader can observe how in the course of time, deeper and deeper insights were achieved with the development of the basic equations of Newton to those of Euler and Lagrange, and to the geodesic equations of space-time and Einstein's relativity. To include diverse problems, a small section on this topic has been added.

Author : Wolfgang Nolting
Publisher : Springer
Page : 143 pages
File Size : 46,8 Mb
Release : 2016-09-28
Category : Science
ISBN : 9783319443713

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Theoretical Physics 4 by Wolfgang Nolting Pdf

Der Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 4. Band behandelt die Gebiete Thermodynamik und Relativitätstheorie. Für die Neuauflage wurde er grundlegend überarbeitet und um 24 Aufgaben ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.

Author : Igor N. Toptygin
Publisher : John Wiley & Sons
Page : 739 pages
File Size : 41,7 Mb
Release : 2013-12-30
Category : Science
ISBN : 9783527677511

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Foundations of Classical and Quantum Electrodynamics by Igor N. Toptygin Pdf

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.

Author : Asim Orhan Barut
Publisher : Courier Corporation
Page : 258 pages
File Size : 49,8 Mb
Release : 1980-01-01
Category : Science
ISBN : 0486640388

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Electrodynamics and Classical Theory of Fields & Particles by Asim Orhan Barut Pdf

The first comprehensive treatment of relativistic electrodynamics, this volume remains essential reading. This graduate-level text was written by a distinguished theoretical physicist. It deftly reveals the classical underpinnings of modern quantum field theory with explorations of space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and action-at-a-distance electrodynamics. 1964 edition.

Author : Noel Doughty
Publisher : CRC Press
Page : 590 pages
File Size : 52,7 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429962080

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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.

Author : Marshall Spector
Publisher : Unknown
Page : 200 pages
File Size : 47,8 Mb
Release : 1972
Category : Relativistic mathematics
ISBN : UCAL:B4406276

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Methodological Foundations of Relativistic Mechanics by Marshall Spector Pdf