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| Author | : L D Landau |
| Publisher | : Elsevier |
| Total Pages | : 417 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483293289 |
Translated from the 6th Russian edition, this latest edition contains seven new sections with chapters on General Relativity, Gravitational Waves and Relativistic Cosmology, where Professor Lifshitz's interests lay. The text of the 3rd English edition has been thoroughly revised and additional problems inserted
| Author | : Eliahu Comay |
| Publisher | : BrownWalker Press |
| Total Pages | : 99 |
| Release | : 2023-02-27 |
| Genre | : Science |
| ISBN | : 1599426390 |
This book undertakes the unusual task of correcting and proposing supplements to the Landau and Lifshitz's highly celebrated textbook titled: The Classical Theory of Fields 1, which has been extraordinarily influential. Its first edition was published in 1939, and new editions in many languages continue to be published. Furthermore, it is still cited in scientific works several hundred times each year. The Classical Electrodynamic Part of Landau and Lifshitz's Textbook The Classical Theory of Fields is rigorously analyzed. The need for corrections is proved. The distinction between bound fields and radiation fields is stipulated. Apparent paradoxes, like the "hidden momentum" concept and the 4/3 factor of the Lorentz transformation of the electromagnetic fields' momentum of a charged particle are explained. Inherent contradictions of of the gauge transformations are proved. In particular, it is proved that the apparent gauge invariance of the QED Lagrangian density does not hold because of its inherent mathematical inconsistencies. This analysis clarifies the long debate concerning the meaning of the electromagnetic 4-potential and its gauge transformations. A regular magnetic monopole theory is outlined, and the systematic failure of the quest for Dirac monopoles is proved.
| Author | : Carl S. Helrich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 445 |
| Release | : 2012-01-13 |
| Genre | : Science |
| ISBN | : 3642232043 |
The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical philosophy. There is a set of foundational experiments, on which most of the theory is constructed. And then there is the bold theoretical proposal of a field-field interaction from James Clerk Maxwell. This textbook presents the theory of classical fields as a mathematical structure based solidly on laboratory experiments. Here the student is introduced to the beauty of classical field theory as a gem of theoretical physics. To keep the discussion fluid, the history is placed in a beginning chapter and some of the mathematical proofs in the appendices. Chapters on Green’s Functions and Laplace’s Equation and a discussion of Faraday’s Experiment further deepen the understanding. The chapter on Einstein’s relativity is an integral necessity to the text. Finally, chapters on particle motion and waves in a dispersive medium complete the picture. High quality diagrams and detailed end-of-chapter questions enhance the learning experience.
| Author | : A. O. Barut |
| Publisher | : Courier Corporation |
| Total Pages | : 258 |
| Release | : 2012-04-30 |
| Genre | : Science |
| ISBN | : 0486158713 |
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.
| Author | : Horaƫiu Năstase |
| Publisher | : Cambridge University Press |
| Total Pages | : 483 |
| Release | : 2019-03-14 |
| Genre | : Science |
| ISBN | : 1108757901 |
Classical field theory predicts how physical fields interact with matter, and is a logical precursor to quantum field theory. This introduction focuses purely on modern classical field theory, helping graduates and researchers build an understanding of classical field theory methods before embarking on future studies in quantum field theory. It describes various classical methods for fields with negligible quantum effects, for instance electromagnetism and gravitational fields. It focuses on solutions that take advantage of classical field theory methods as opposed to applications or geometric properties. Other fields covered includes fermionic fields, scalar fields and Chern–Simons fields. Methods such as symmetries, global and local methods, Noether theorem and energy momentum tensor are also discussed, as well as important solutions of the classical equations, in particular soliton solutions.
| Author | : Valery Rubakov |
| Publisher | : Princeton University Press |
| Total Pages | : 456 |
| Release | : 2009-02-09 |
| Genre | : Science |
| ISBN | : 1400825091 |
Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.
| Author | : Boris Kosyakov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 486 |
| Release | : 2007-07-11 |
| Genre | : Science |
| ISBN | : 3540409343 |
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.
| Author | : Davison E. Soper |
| Publisher | : Courier Dover Publications |
| Total Pages | : 276 |
| Release | : 2008-02-04 |
| Genre | : Science |
| ISBN | : 0486462609 |
This text concerns continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. Geared toward advanced undergraduates and graduate students, it offers an accessible approach that formulates theories according to the principle of least action. The chief advantage of this formulation is its simplicity and ease, making the physical content of classical subjects available to students of physics in a concise form. Author Davison E. Soper, a Professor of Physics at the University of Oregon, intended this treatment as a primary text for courses in classical field theory as well as a supplement for courses in classical mechanics or classical electrodynamics. Topics include fields and transformation laws, the principle of stationary action, general features of classical field theory, the mechanics of fluids and elastic solids, special types of solids, nonrelativistic approximations, and the electromagnetic field. Additional subjects include electromagnetically polarized materials, gravity, momentum conservation in general relativity, and dissipative processes.
| Author | : Leonard Susskind |
| Publisher | : Basic Books |
| Total Pages | : 295 |
| Release | : 2017-09-26 |
| Genre | : Science |
| ISBN | : 0465093353 |
The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.
| Author | : Henryk Arodz |
| Publisher | : Springer |
| Total Pages | : 360 |
| Release | : 2017-04-22 |
| Genre | : Science |
| ISBN | : 3319556193 |
This textbook addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. It aims to deliver a unique combination of classical and quantum field theory in one compact course.
