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by Yuri N. Obukhov,F. W. Hehl

  • ISBN: 0817642226
  • Category: Math & Science
  • Author: Yuri N. Obukhov,F. W. Hehl
  • Subcategory: Mathematics
  • Other formats: txt docx lrf lrf
  • Language: English
  • Publisher: Birkhäuser; 2003 edition (August 7, 2003)
  • Pages: 320 pages
  • FB2 size: 1539 kb
  • EPUB size: 1401 kb
  • Rating: 4.8
  • Votes: 112
Download Foundations of Classical Electrodynamics (Progress in Mathematical Physics) fb2

As a distinctive feature of traditional classical electrodynamics, this book rests on the metric-free integral .

As a distinctive feature of traditional classical electrodynamics, this book rests on the metric-free integral formulation of the. conservation laws of electrodynamics as represented by exterior. physics who work in field theory and general relativity. The book consists of five parts; a short list of references and an. author and a subject index are included.

Foundations of Classical Electrodynamics1 2 ; Friedrich W. Hehl & Yuri N. Obukhov 01 June 2001 1. .The present format of the book should be changed such as to allow for a 1-line display of longer mathematical formulas. 2 The book is written in Latex. Our master le is birk. Obukhov 01 June 2001 1 Keywords: electrodynamics, electromagnetism, axiomatics, ex-. terior calculus, classical eld theory, (coupling to) gravitation, computer algebra. The book is written in American English (or what the authors conceive as such).

This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the .

This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the so-called metric-free approach. The fundamental structure of classical electrodynamics is described in the form of six axioms: (1) electric charge conservation, (2) existence of the Lorentz force, (3) magnetic flux conservation, (4) localization of electromagnetic energy-momentum, (5) existence of an electromagnetic spacetime relation, and (6) splitting of the electric current into material and external pieces.

Authors: Hehl, Friedrich . Obukhov, Yuri . The fundamental structure of classical electrodynamics is described in the form.

W. Hehl, Yuri N. Obukhov. ISBN 13: 9780817642228. Series: Progress in Mathematical Physics. File: PDF, . 7 MB. Читать онлайн. This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the so-called metric-free approach.

Friedrich W Hehl, Yuri N. Obukhov electrodynamics for physics and mathematics students and, perhaps, for . The book can be used as a textbook for an advanced course in theoretical electrodynamics for physics and mathematics students and, perhaps, for some highly motivated electrical engineering students. We hope that our book can be seen in the classical tradition of the book by E. J. Post (1962) on the Formal Structure of Electro magnetics and of the chapter "Charge and Magnetic Flux" of the encyclopedia article on classical field theories by C. Truesdell and R. A. Toupin (1960), in cluding R. Toupin's Bressanone lectures (1965).

Authors:Friedrich W. Abstract: The axiomatic structure of the electromagnetic theory is outlined. Submitted on 31 May 2000 (v1), last revised 8 Sep 2000 (this version, v2)). We will base classical electrodynamics on (1) electric charge conservation, (2) the Lorentz force, (3) magnetic flux conservation, and (4) on the Maxwell-Lorentz spacetime relations. This yields the Maxwell equations. The consequences will be drawn, inter alia, for the interpretation and the dimension of the electric and magnetic fields.

Applied Mathematics and Physics. doi: 1. 2691/amp-2-3-6. A massless photon, originated already through the Maxwell theory of electromagnetism, is one of the basic paradigms of modern physics, ideally supported throughout both the quantum electrodynamics and the Higgs mechanism of spontaneous symmetry breaking which lays the foundations of the Standard Model of elementary particles and fundamental interactions. Nevertheless, the physical interpretation of the optical experimental data, such like observations of total internal reflection of the beam shift in the Goos–H¨anchen effect, concludes a photon mass.

Автор: Hehl Friedrich . Obukhov Yuri N. Название: Foundations of Classical .

In this book we display the fundamental structure underlying classical electro­ dynamics, i. e. , the phenomenological theory of electric and magnetic effects. The book can be used as a textbook for an advanced course in theoretical electrodynamics for physics and mathematics students and, perhaps, for some highly motivated electrical engineering students. We expect from our readers that they know elementary electrodynamics in the conventional (1 + 3)-dimensional form including Maxwell's equations. More­ over, they should be familiar with linear algebra and elementary analysis, in­ cluding vector analysis. Some knowledge of differential geometry would help. Our approach rests on the metric-free integral formulation of the conservation laws of electrodynamics in the tradition of F. Kottler (1922), E. Cartan (1923), and D. van Dantzig (1934), and we stress, in particular, the axiomatic point of view. In this manner we are led to an understanding of why the Maxwell equa­ tions have their specific form. We hope that our book can be seen in the classical tradition of the book by E. J. Post (1962) on the Formal Structure of Electro­ magnetics and of the chapter "Charge and Magnetic Flux" of the encyclopedia article on classical field theories by C. Truesdell and R. A. Toupin (1960), in­ cluding R. A. Toupin's Bressanone lectures (1965); for the exact references see the end of the introduction on page 11. .
Reviews about Foundations of Classical Electrodynamics (Progress in Mathematical Physics) (2):
Mejora
The differential geometric method has been one of the most

fundamental tools for theoretical physicists since its first

introduction into special relativity (general relativity) by Albert

Einstein in 1905 (1915). Later it has been applied to many research

areas, such as fluid mechanics, elastomechanics, thermodynamics, solid

state physics, optics, electromagnetism, quantum field theory, etc.

As a distinctive feature of traditional classical electrodynamics,

this book rests on the metric-free integral formulation of the

conservation laws of electrodynamics as represented by exterior

differential forms. Therefore the book will be of great interest to

graduate students and researchers in mathematics and theoretical

physics who work in field theory and general relativity.

The book consists of five parts; a short list of references and an

author and a subject index are included. Every part ends with a list

of references. The authors begin in Part A, as an introductory

section, with an elementary presentation of exterior differential

forms. The necessary geometric concepts, needed to formulate

classical electrodynamics and gravitational theory in the language of

differential forms, are explained in Part A and in Part C, too. The

axioms of classical electrodynamics, the integral formulations of

electric charge and magnetic flux conservation, are presented in Part

B. Subsequently, the linear connection and the metric are introduced

in Part C. The general framework is completed in Part D by a specific

electrodynamic spacetime relation and in Part E by applying

electrodynamics to moving continua and to rotating and accelerating

observers, for instance.

Moreover, a computer algebra program is introduced in the book in

a simple way, and some cartoon drawings will add to the tedious

mathematics some humor. As to the exposition of the book, we are

impressed by illustrations and diagrams, which support our geometrical

insight. The mathematical abstraction and physical relevance are

displayed neatly and appropriately. It is concise and comprehensive

as an introductory textbook for graduate students and a complete

reference book for researchers.

Thus, there is no doubt that many specialists will be interested

in the book under review. The book proves to be a good scientific

resource for university libraries as well as for graduate students and

researchers working in mathematical physics, field theory, and general

relativity.
Vathennece
This is, in my opinion, the best book available on the foundations of Classical Electrodynamics. Using differential forms, the authors derive the two Maxwell equations (dF=0, dH=J) from four basic axioms in a metric-free approach. Only when two additional axioms are presented, the standard Maxwell-Lorentz theory in vacuum and in matter is developed by taking into account the metric structure of spacetime. Therefore, this framework allows for an almost trivial transition to the curved spacetime of general relativity. Moreover, the electromagnetic excitation H is considered as a microscopic field - whereas, conventionally, only the electromagnetic field strength F is considered as a truly microscopic field.

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